Write the equation of the line through the given point. Use​ slope-intercept form.

Question

Answer 1

y = 3x/2 + b, slope = negative inverse of -2/3

plug in point (-7,7) to find b=y intercept

7= -21/2 + b

b =7+10.5 = 17.5

y = 3x/2 +35/2 is the perpendicular line in slope intercept form

Answer 2

The slopes of perpendicular lines are negative reciprocals of each other. So if the slope of a line is -2/3, then a line perpendicular to it would have a slope of 3/2. Slope intercept form is y=mx+b (m=slope, b=y-intercept). Now that you know the slope of the line, you can plug in the point they give for x and y and solve for b.

Answer 3

(y - 7) = (3/2)(x + 7)