Question

type the correct answer in the box. use numerals instead of words.
a line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
a line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. the y-intercept of the line is

Explanation:

Step1: Recall the 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 the line passes through the point $(x,y)=(10,1)$ and has a slope $m=- 0.5$.

Step2: Substitute the known values into the equation

Substitute $x = 10$, $y = 1$ and $m=-0.5$ into the equation $y=mx + b$. We get $1=-0.5\times10 + b$.

Step3: Solve for $b$

First, calculate $-0.5\times10=-5$. Then the equation becomes $1=-5 + b$. Add 5 to both sides of the equation: $b=1 + 5=6$.

Answer:

6