Question

Help with #17 please

Answer 1

Third choice is the one you want

Explanation:

First off, we need to remember that for a line to be perpendicular to another line, its slope is the opposite reciprocal to the other line. The slope of our line is -1/4, so the opposite reciprocal slope is +4/1 or just 4. Now we know that m = 4.

The point-slope form of a line is

`y-y_(1)=m(x-x_(1))`

where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point. Filling in:

`y-5=4(x-(-3))` which simplifies to

`y-5=4(x+3)` which simplifies further to

`y-5=4x+12`

Add 5 to both sides to get the equation into slope-intercept form:

y = 4x + 17

choice 3