Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

-3x-2y=2

step 1

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

-3(0)-2y=2

-2y=2

y=-1

The y-intercept is the point (0,-1)

step 2

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

-3x-2(0)=2

-3x=2

x=-2/3=-0.667

The x-intercept is the point (-0.667,0)

step 3

Find the third point

For x=2

substitute

-3(2)-2y=2

-6-2y=2

-2y=8

y=-4

The third point is (2,-4)

step 4

Plot the points and graph the line

see the attached figure

Note Just two points was enough to draw the line.