Question 1155610


Given the points ( 4, -3) and ( 2, 2) answer the following.
a. Find the slope of the line, L1, that goes through the points ( 4, -3) and ( 2, 2).
b. Write the equation of the line, L1. Write in slope intercept form.
c. Find the slope of the line, L2, that is perpendicular to L1.
d. Write the equation of the line, L2, that goes through the point ( -3, 5 ).

{{{ slope = (y1-y2)/(x1-x2)}}}

{{{Slope = (-3-2)/4-2)}}}

{{{ slope = -5/2}}}



The slope of line perpendicular to L1 = 2/5   ( negative reciprocal)
slope = 2/5
(-3,5)

Equation in slope point form

(y-y1) = m(x-x1)

(y-5) = (2/5(x-(-3))


y-5 = (2/5) (x+3)

5(y-5) = 2(x+3)

5y-25 = 2x+6

5y = 2x+6 -25

5y= 2x-19

{{{y = (2/5)x -(19/5)}}}