Question

what is the equation of a line with a slope of 7 and a point (1, 8) on the line? express the equation in the form of $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. enter your answer in the box.

Explanation:

Step1: Substitute known values into $y=mx+b$

We know $m=7$, $x=1$, $y=8$. Substitute these into the equation:
$8 = 7(1) + b$

Step2: Solve for $b$

Calculate and isolate $b$:
$8 = 7 + b$
$b = 8 - 7 = 1$

Step3: Write final line equation

Substitute $m=7$ and $b=1$ back into $y=mx+b$:
$y = 7x + 1$

Answer:

$y = 7x + 1$