Question

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3x+2y=2

Answer 1

First you need to put the equation into slope form which is y = mx + b

-3x + 2y = 2

2y = 3x + 2

y = 1.5x + 1

In this equation the y-intercept is 1 and the slope is 1.5 or 3/2.

To graph the line you can start at the y-intercept then move up 3 and to the right 2 or down 3 and to the left 2.

Three points are (2, 4) , (-2 ,-2), (4, 7).

Hope this helps! Mark as Brainliest please! :)))

Answer 2

Transform to slope-intercept form (y = mx + b):

$-3x+2y=2\ \ \ |+3x\\\\2y=3x+2\ \ \ |:2\\\\y=1.5x+1$

Calculate the coordinates of three points. Put any value of x to the equation of line and calculate a value of y.

$for\ x=-2\to y=1.5(-2)+1=-3+1=-2\to(-2;-2)\\for\ x=0\to y=1.5(0)+1=0+1=1\to(0;\ 1)\\for\ x=2\to y=1.5(2)+1=3+1=4\to(2;\ 4)$

The graph in attachment