find the slope intercept form and the point slope

Question

the line perpendicular to 4x-7y=2 going through (-6,1)

(answer asap)

Answer 1

Hello Jaeda.

the slope of 4x-7y=2 is 4/7. but this line is perpendicular to our actual line. so the slope of our line is nagetive reciprocal of 4/7 which is -7/4

point slope form: y - 1 = -7/4 (x - -6)

y-1 = -7/4(x +6)

slope intercept form: y = -7x/4 -19/2

hope that helps