Question

A line is drawn on the coordinate plane that passes through the point (10, 1) and has a slope of -0.5. What is the y-intercept of the line?

A. 5
B. -5
C. 4.5
D. -4.5

Answer 1

To find the y-intercept, we use the slope-intercept form of a linear equation and substitute the values given in the question.

Step-by-step explanation:

To find the y-intercept of the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Given that the line has a slope of -0.5 and passes through the point (10, 1), we can substitute these values into the equation:

1 = -0.5(10) + b

Simplifying this equation gives: 1 = -5 + b

Adding 5 to both sides of the equation gives the value of b:

b = 6

Therefore, the y-intercept of the line is 6.