Write the slope intercept form of the equation of the line described

Question

Through:(1,1), perpendicular to y=-1/4x

Answer 1

In order to write the equation of a line, we need a slope and a point. y - y1 = m(x - x1)

The slope of the line y = -1/4x is -1/4, since it follows the form y = mx + b.

Perpendicular lines have opposite reciprocal slopes, so the slope we want our line to have is m = +4/1 = 4.

Label the point (1, 1) as (x1, y1) and plug into the point-slope formula above.

y - 1 = 4(x - 1)

If you are allowed to leave the equation in point-slope form, that is all you have to do!

If you need to get the equation into slope-intercept form, you will have to distribute and then add 1 to both sides:

y - 1 = 4x - 4

y = 4x - 3

Answer 2

The line perpendicular to this one will have a slope equal to the negative reciprocal. In the equation provided, the slope is -1/4. So m=4 for the line perpendicular. Then you can use the following equation. (y-y1)=m(x-x1)

Plug in the values of (x1,y1) using the point provided. (1,1)

(y-1)=4(x-1) Distribute

y-1=4x-4 Add 1 to both sides

y-1+1=4x-4+1 Simplify

y=4x-3