Question

1. The Graph Of A Line Passes Through The Points (0, -2) And (6, 0). What Is The Equation Of The Line?

Math can be tricky, but equations are one of the most important aspects of understanding your math problems. How do you figure out the equation for a line when you know two points it passes through? This can be confusing at first, but with a few simple steps, you’ll understand how to solve this problem easily. In this blog post, we’ll look at the equation of a line that passes through the points (0, -2) and (6, 0). We will use different methods to help understand how to find the equation of such a line and then provide an example.

The equation of a line

Assuming that you are referring to the slope-intercept form of the equation of a line, the equation of the line would be y = -x + 2.

The graph of a line

The graph of a line is a straight line that connects two points on a plane. The equation of a line is a mathematical formula that can be used to find the slope of the line, as well as the y-intercept. The slope is the steepness of the line, and the y-intercept is the point where the line crosses the y-axis.

The points (0, -2) and (6, 0)

The points (0, -2) and (6, 0) are on the graph of a line. The equation of the line is y = -2x + 6.

The equation of the line through the points (0, -2) and (6, 0)

The equation of a line is usually written as y=mx+b where m is the slope and b is the y-intercept. In this case, the slope is m=2/6=1/3 and the y-intercept is b=-2. Therefore, the equation of the line is y=1/3x-2.

Conclusion

In this article, we have discussed how to find the equation of a line given two points. We first use the slope formula to calculate the slope and then plug in one of our points into the point-slope form of a linear equation to determine the equation for our line. In this case, we found that our equation is y=-1/3x+2, which passes through both (0,-2) and (6,0). With these steps in mind, you should be able to find equations of lines with ease!

2. A graph of a line can tell an equation a lot about the shape and behavior of the line. Understanding how to find the equation of the line when given two points on it is an essential skill for algebra and calculus. The equation for a line passing through two points (x1, y1) and (x2, y2) is determined by using the slope-intercept form of a linear equation: y = mx + b. In this case, given that the graph passes through (0,-2) and (6, 0), we can solve for m and b to determine what the equation of this line is.

The slope m can be calculated by taking the difference between y2−y1 divided by x2−x1:  m = (0 – (-2))/(6 – 0)= 1/3.

3. Have you ever wondered what the equation of a line is? Chances are, you’ll come across this concept in math and science classes.

It’s actually quite simple to calculate the equation of a line when given the coordinates of two points on it.

Let’s take a look at the graph of a line that passes through the points (0, -2) and (6, 0). What is the equation of this line?

It turns out that the equation of this line is y = 1/3x – 2. To understand how we got to this equation, let’s first learn about the general equation of a straight line.

The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. The slope of the line is the amount the y coordinate changes for each unit the x coordinate changes.

In this case, the slope of the line is 1/3, which means that the y coordinate changes by 1/3 for each unit the x coordinate changes. To calculate the y-intercept, we just need to plug in the coordinates of one of the points on the line—which in this case is (0, -2).

When we plug in (0, -2) into the equation y = mx + c, we get -2 = 0 + c, or c = -2. Therefore, the equation of the line is y = 1/3x – 2.

So, the next time you come across the equation of a line, you’ll know how to calculate it.

4. Have you ever been given a graph with two points and asked to figure out the equation of the line?

It can be a daunting task, especially if you don’t have a strong grasp of basic algebra. But don’t worry – with a simple equation and a bit of know-how, you can easily find the equation of the line!

Let’s start by taking a look at the graph. If you look closely, you’ll see that the line passes through the points (0, -2) and (6, 0). Now, all you need to do is figure out the equation of the line.

First, let’s write the equation of the line. We know that the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Now, let’s figure out the slope of the line. To do that, we need to find the rise and the run. The rise is the change in the y-coordinate (in this case, it’s 2), and the run is the change in the x-coordinate (in this case, it’s 6). To find the slope, divide the rise by the run. In this case, it’s 2/6, or 1/3.

Now that we know the slope, we need to find the y-intercept. To do that, plug the coordinates of one of the points (in this case, (0, -2)) into the equation. When you do that, you’ll get -2 = (1/3)x + b. Solve for b, and you’ll get b = -2 – (1/3)x. Since x = 0, b = -2.

Now that we know the slope and the y-intercept, we can write the equation of the line: y = (1/3)x – 2.

And there you have it – the equation of the line!