Question

-3x+2y=-4
Graphed
Very confused on this question

Answer 1

Explanation:

Given equation: -3x + 2y = -4

Add 3x to both sides of the equation:

-3x + 2y + 3x = -4 + 3x

2y = 3x - 4

Divide both sides by 2 to solve for y:

`(2y)/(2) = (3x - 4)/(2)`

`y = (3)/(2)x - 2` (This is the linear equation in slope-intercept form).

To graph, we could determine the y-intercept of the equation. The y-intercept is the value of y when x = 0.

Plug in x = 0 into the equation:

`y = (3)/(2)x - 2`

`y = (3)/(2)(0) - 2`

y = - 2

Therefore, the y-intercept is (0, -2).

Now, we can plot the points on the graph using the slope,
`m = (3)/(2) = (rise)/(run)`. Start by plotting the y-intercept onto the graph, then you can plot the next graph by going 3 units up and 2 units to the right. Keep repeating the steps until you form a line. Please see the plotted points in the attached image.