Question

The graph of the linear function f passes through the point (3, -8) and has a slope of -2. What is the y-intercept of f?

a) -2
b) 2
c) -4
d) 4

Answer 1

The y-intercept of the linear function with a slope of -2 that passes through point (3, -8) is -2, which corresponds to option (a).

Step-by-step explanation:

The question asks us to find the y-intercept of a linear function that passes through the point (3, -8) and has a slope of -2. To do this, we 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 slope (m) is -2, we can substitute the x and y values from the point (3, -8) into the equation to solve for b. The calculation would look like this:

-8 = (-2)(3) + b

-8 = -6 + b

b = -8 + 6

b = -2

Therefore, the y-intercept of the linear function is -2, which corresponds to option (a).