Question

1. write an equation in slope-intercept form for a line parallel to the equation y = 13x - 4 and contains the point (9, 12)

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For $y=13x-4$, the slope $m=13$.

Step2: Substitute point into slope-intercept form

Use $y=mx+b$, substitute $x=9$, $y=12$, $m=13$:
$12 = 13(9) + b$

Step3: Solve for y-intercept $b$

Calculate $13(9)=117$, then $12=117+b$. Rearrange:
$b=12-117=-105$

Step4: Write final equation

Substitute $m=13$ and $b=-105$ into $y=mx+b$.

Answer:

$y=13x-105$