I DON'T GET THIS!!!

Question

Write an equation in slope intercept form that passes through (0,2) and is perpendicular to the line y=-5x+8

Answer 1

So we have a line, y= -5x + 8, and we're told to create a line that is perpendicular to it going through the point of (0, 2).

The first step is to find the slope of the new line. Perpendicular lines are the negative reciprocal of the previous slope. That means we need to flip the numerator and denominators' positions, and then switch the signs. Negative five has the implicit denominator of one, so that means we do the following steps:

-⁵/₁ ⇒ -¹/₅ ⇒ ¹/₅

And now we have the new slope.

Now that we have a slope, we have m; we have x- and y-values due to the point (0, 2), now we just need to find b. Place in all the values we know into the slope-intercept formula:

y = mx + b

2 = ¹/₅ * 0 + b

0 times anything equals 0:

2 = 0 + b

2 = b

That gives us the equation

y = ¹/₅ x + 2

Answer 2

The equation in slope intercept form that is perpendicular to y=-5x+8 and passes through (0,2) is y=1/5x +2