Write equation for point slope form and slope intercept form. Passing through (5

Question

Write equation for point slope form and slope intercept form. Passing through (5,-7) and perpendicular to the line whose equation is y=1/4x+5

6 of 21 (17 complete) Te Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (5-7) and perpendicular to the line whose equation is y 4x + 5 Write an equation for the line in point-slope form. (Simplify your answer. Use integers or fractions for any numbers in the equation) Write an equation for the line in slope-intercept form. (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Explanation / Answer

a)

point slope form : (y-y1 = m(x-x1)

for perpendicular lines m1*m2 = -1

=> m*(1/4) =-1

=> m = -4

thus, line is

(y+7) = -4(x-5)

b)

slope intercept form

y = mx + c

-7 = -4*5 + c

=> c = 20-7

c =13

=> line is : y = -4x + 13

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