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

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 that $m = 7$, and the line passes through the point $(-1,-8)$.

Step2: Substitute into the equation

Substitute $x=-1$, $y = - 8$ and $m = 7$ into the equation $y=mx + b$. So we have $-8=7\times(-1)+b$.

Step3: Solve for b

First, calculate $7\times(-1)=-7$. Then the equation becomes $-8=-7 + b$. Add 7 to both sides of the equation: $-8 + 7=b$, so $b=-1$.

Step4: Write the equation

Now that we know $m = 7$ and $b=-1$, substitute these values into the slope - intercept form $y=mx + b$. We get $y = 7x-1$.

Answer:

$y = 7x-1$