Question

Graph 3x-4y=-12 using Intercepts
show work please​

Answer 1

Explanation:

Let's turn the equation into a slope-intercept form equation.

Slope-intercept form: y = mx + b

m = slope.

b = y-intercept.

Divide each side by -4:

`(3x)/( - 4) - ( - 4y)/( - 4) = ( - 12)/( - 4)`

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

Switch each term:

`y = (3)/(4) x + 3`

-3/4x changes to a positive coefficient as it has switched sides.

Find the Slope and Y-intercept:

Following slope-intercept form, we can identify what the slope and y-intercept is.

m = 3/4

b = 3

The graph starts at point: (0, 3) and the line increases by 3/4.

The slope represents for every 3 (y), x increases by 4.

Points:

(-4, 0)

(-2, 1.5)

(0, 3)

(2, 4.5)

(4, 6)

Graph is shown.