a line has a slope of 7 and passes through the point (2, 8). write its equation in slope - intercept form…

a line has a slope of 7 and passes through the point (2, 8). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line has a slope of 7 and passes through the point (2, 8). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Answer:

$y = 7x - 6$

Explanation:

Step1: Recall slope - intercept form

$y=mx + b$, where $m$ is slope and $b$ is y - intercept.

Step2: Substitute given values

Given $m = 7$, $x = 2$, $y = 8$. So $8=7\times2 + b$.

Step3: Solve for $b$

$8 = 14 + b$, then $b=8 - 14=-6$.

Step4: Write the equation

Substitute $m = 7$ and $b=-6$ into $y=mx + b$, we get $y = 7x - 6$.