Step-by-step 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:
[tex] \frac{3x}{ - 4} - \frac{ - 4y}{ - 4} = \frac{ - 12}{ - 4} [/tex]
[tex] - \frac{3}{4} x + y = 3[/tex]
Switch each term:
[tex]y = \frac{3}{4} x + 3[/tex]
-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.
