Question

Write the slope-intercept form of the equation of the line trough the given point with the given slope.

trough : (1, -4), slope= -8
A.y=8x+4
B.y=-8x+4
C.y=4x+8
D.y=3x+8

Answer 1

Given:

Point = (1,-4), Slope - 8

Point = (1,5), Slope =1

To find:

The slope-intercept forms of the given lines.

Solution:

The slope intercept form of a line is:

`y=mx+b`

The point slope form is:

`y-y_1=m(x-x_1)`

where, m is the slope of the line.

We have, Point = (1,-4), Slope - 8. So, the equation of the line is:

`y-(-4)=-8(x-1)`

`y+4=-8x+8`

`y=-8x+8-4`

`y=-8x+4`

Therefore, the correct option is B.

We have, Point = (1,5), Slope =1. So, the equation of the line is:

`y-5=1(x-1)`

`y-5=x-1`

`y=x-1+5`

`y=x+4`

Therefore, the correct option is D.