graphing equations practice

Answer 1

1. Graph the equation y = 2x + 1

To graph this equation, you can start by finding two points that lie on the line. One way to do this is to choose values for x and then find the corresponding y values.

Let's choose x = 0:
y = 2(0) + 1 = 1
So the point (0,1) lies on the line.

Now let's choose x = 1:
y = 2(1) + 1 = 3
So the point (1,3) also lies on the line.

Plot these two points on a coordinate plane and draw a straight line through them. This line represents the graph of the equation y = 2x + 1.

2. Graph the equation y = -3x + 2

Again, start by finding two points that lie on the line. Choose values for x and then find the corresponding y values.

Let's choose x = 0:
y = -3(0) + 2 = 2
So the point (0,2) lies on the line.

Now let's choose x = 1:
y = -3(1) + 2 = -1
So the point (1,-1) also lies on the line.

Plot these two points on a coordinate plane and draw a straight line through them. This line represents the graph of the equation y = -3x + 2.