Answer:
Read below
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
- m is the slope
- b is the y-intercept (when x = 0)
1. Rewrite 3x - 4y = -12 into slope-intercept form:
3x - 4y = -12 [subtract 3x from both sides]
3x - 3x - 4y = -12 - 3x
-4y = -3x - 12 [divide both sides by -4]
-4y ÷ -4 = -3x - 12 ÷ -4
[tex]\implies y =\dfrac{3}{4}x + 3[/tex]
Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)
2. Randomly choose x-values that can help you graph the equation:
When x = -8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]
coordinate: (-8, -3)
When x = -4:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]
coordinate: (-4, 0)
When x = 8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]
coordinate: (8, 9)
Graph these coordinates and draw a linear (straight) line through them.
