Question

use the given conditions to write an equation for the line in slope-intercept form

Passing through (-1,6) and perpendicular to the line whose equation is y= 2/3x+2/3

write an equation for the line in slope-intercept form

Answer 1

Ok so a perpendicular line will have a negative reciprocal of the slope.

The slope here is 2/3, so -3/2 will be the new slope.

Passing through (-1, 6), we can say x = -1, y = 6

So 6 = -3/2(-1) + b

Let's solve for b (the y-intercept.