Unit 5 graphing linear equations lesson 7 graphing equations

Answer 1

In this lesson, we will learn how to graph linear equations by finding their x and y-intercepts.

To graph a linear equation, we need to find two points on the line. One way to do this is by finding the x-intercept and the y-intercept.

The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y = 0 in the equation and solve for x. This will give us the x-coordinate of the x-intercept.

The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x = 0 in the equation and solve for y. This will give us the y-coordinate of the y-intercept.

Once we have the x and y-intercepts, we can plot them on the coordinate plane and connect them with a line to graph the linear equation.

For example, let's graph the equation y = 2x + 3:

To find the x-intercept, we set y = 0:
0 = 2x + 3
-3 = 2x
-1.5 = x
So the x-intercept is (-1.5, 0).

To find the y-intercept, we set x = 0:
y = 2(0) + 3
y = 3
So the y-intercept is (0, 3).

Now, we plot the x-intercept (-1.5, 0) and y-intercept (0, 3) on the coordinate plane and connect them with a line. This line represents the graph of the equation y = 2x + 3.

You can also find more points on the line by choosing different values of x and solving for y. Plotting these points will help you accurately graph the linear equation.