Question

1. Graph the line represented by the equation
y = -3 + 2x

Answer 1

Below

Explanation:

So i can't attach a pic but i'll explain how to find everything you need to graph this.

Find x intercept (the point on the horizontal line):

Sub y for 0 : 0 = -3 + 2x

move variables : -2x = -3

divide by -2 : x = 3/2

So the x intercept is 3/2 or to make it easier, 1.5

Find y intercept (the point on the vertical line)

Sub x for 0 : y = -3 + 2(0)

solve for y : y = -3

So the y intercept is -3

Now to find the slope (rise/run)

In this case, you first need to reorder the terms:

y = 2x - 3

transform : y = 2x + (-3)

Identify slope : m = 2

So the slope is 2

Here is how to graph this equation

Start from your y intercept which is -3 and count 2 spaces up, and then once space to the right. Keep doing that and it will give you all the points you need to draw your graph!

Hope this helps :)