Question

find an equation for a linear function parallel to the given line passing through the given point. y=7x - 5, (0,8) the linear function is f(x) = \square. (type your answer in slope - intercept form.)

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For $y=7x-5$, the slope $m=7$.

Step2: Use point-slope form to find b

Substitute $m=7$, $x=0$, $y=8$ into $y=mx+b$:
$8 = 7(0) + b$
Solve for $b$: $b=8$

Step3: Write slope-intercept form

Substitute $m=7$ and $b=8$ into $y=mx+b$.

Answer:

$f(x)=7x+8$