How do you graph y = -3/2x + 2?

Apr 2, 2018

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For $x = 0$

$y = \left(- \frac{3}{2} \cdot 0\right) + 2$

$y = 0 + 2$

$y = 2$ or $\left(0 , 2\right)$

Second Point: For $x = 2$

$y = \left(- \frac{3}{2} \cdot 2\right) + 2$

$y = - 3 + 2$

$y = - 1$ or $\left(2 , - 1\right)$

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-2)^2-0.035)((x-2)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y +(3/2)x - 2)(x^2+(y-2)^2-0.035)((x-2)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}