213k views
3 votes
-3x+2y=-4
Graphed
Very confused on this question

-3x+2y=-4 Graphed Very confused on this question-example-1
User Yvonna
by
8.0k points

1 Answer

2 votes

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.

-3x+2y=-4 Graphed Very confused on this question-example-1
User Brankodd
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories