Question

You are given a line that has a stope of 4 and passes through the point (3, 3), 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

The line of the equation is:

y=4x-9

Here:

• m = 4

• y-intercept = b = -9

Therefore, no option you mentioned is correct.

Explanation:

Given

• point (3, 3)

• slope = m = 4

Using the point-slope form

`y-y_1=m\left(x-x_1\right)`

Here m is the slope.

substituting the values m = 4 and the point (3, 3)

`y-y_1=m\left(x-x_1\right)`

y-3 = 4(x-3)

y-3 = 4x-12

Writing in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept.

so

y-3 = 4x-12

y=4x-12+3

y=4x-9

Thus, the line of the equation is:

y=4x-9

Here:

• m = 4

• y-intercept = b = -9

Therefore, no option you mentioned is correct.