Question

find the equation of the line that is parallel to y = 7x - 6 and contains the point (3,22). y = ?x +

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For $y=7x-6$, slope $m=7$.

Step2: Use point-slope form

Point-slope formula: $y-y_1=m(x-x_1)$. Substitute $m=7$, $(x_1,y_1)=(3,22)$:
$y-22=7(x-3)$

Step3: Simplify to slope-intercept form

Expand and isolate $y$:
$y-22=7x-21$
$y=7x-21+22$
$y=7x+1$

Answer:

$y = 7x + 1$