Question

You are given a line that has a slope of 4 and passes through the point (3/8, 1/2). Which statements about the equation of the line are true? Check all that apply.

The y-intercept is -1.
The slope-intercept equation is y = 4x - 1.
The point-slope equation is y - 3/8 = 4(x - 1/2).
The Point (3/8, 1/2) corresponds to (x1, y1) in the point-slope form of the equation.

Answer 1

Explanation:

the point-slope form is

y - y1 = a(x - x1)

with "a" being the slope, (x1, y1) being a point on the line.

so, we have here

y - 1/2 = 4(x - 3/8)

simplifying this gives us then the slope-intercept form

y = ax + b

with b being the y-intercept.

so, we get

y - 1/2 = 4x - 4×3/8 = 4x - 3/2

y = 4x - 3/2 + 1/2 = 4x - 2/2 = 4x - 1

so,

the first, second and forth statements are true, the third is false.