a line has a slope of 7 and passes through the point (-1, -8). write its equation in slope - intercept form…

a line has a slope of 7 and passes through the point (-1, -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 (-1, -8). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know $m = 7$, so the equation is $y=7x + b$.

Step2: Substitute the point into the equation

Substitute $x=-1$ and $y = - 8$ into $y = 7x + b$. We get $-8=7\times(-1)+b$.

Step3: Solve for $b$

Simplify the right - hand side: $-8=-7 + b$. Add 7 to both sides of the equation: $b=-8 + 7=-1$.

Step4: Write the final equation

Substitute $b=-1$ back into $y = 7x + b$. The equation of the line is $y = 7x-1$.

Answer:

$y = 7x-1$