Question

Find the distance from(-4,-6) to the line defined by y=2x+7. Express as a radical or a number rounded to the nearest hundredth

Answer 1

One way is to:
1) find the line perpendicular to the given line, that goes through point (-4,-6)

2) find where these line intersect

3) find the distance between the intersection point and point (-4,-6)

Answer 2

how can I find the line that's perpendicular?

Answer 3

if you have a line with slope "m", a line perpendicular to it will have slope -1/m
( i.e. "flip" the slope and multiply by -1)

once you have the slope, use
point-slope formula
y - y0 = m(x-x0) where (x0,y0) is a point on the line