Question

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

Answer 1

Step-by-step 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:

$\frac{2y}{2} = \frac{3x - 4}{2}$

$y = \frac{3}{2}x - 2$  (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:

$y = \frac{3}{2}x - 2$

$y = \frac{3}{2}(0) - 2$

y = - 2  

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

Now, we can plot the points on the graph using the slope,  $m = \frac{3}{2} = \frac{rise}{run}$. 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.