Question 9 of 11, Step 1 of 1
Correct
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point $(-5,11);$ Slope $=-2$
Answer

Step 1 ：The equation of a line in slope-intercept form is given by $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. We are given the slope $m=-2$ and a point on the line $(-5,11)$. We can substitute these values into the equation to solve for $b$.

Step 2 ：Substituting the given values into the equation, we get $11=-2(-5)+b$. Solving for $b$, we find that $b=1$.

Step 3 ：Now that we have the slope and the y-intercept, we can substitute these values into the slope-intercept form of the equation to get the equation of the line.

Step 4 ：Substituting $m=-2$ and $b=1$ into the equation, we get $y=-2x+1$.

Step 5 ：Final Answer: The equation of the line in slope-intercept form that passes through the point $(-5,11)$ with the slope $-2$ is $\boxed{{\displaystyle y=-2x+1}}$.