Use the given conditions to write an equation for the line i

Use the given conditions to write an equation for the line in point-slope form and slope-intercept. When entering the point-slope form, keep terms with y on the left and keep terms with x on the right. Simplify any fractions as much as possible and do not use decimals.

Passing through (7, -11) and perpendicular to the line whose equation is x-5y+7=0

Q1 - The point-slope form is:

Q2 - The slope-intercept form is: y =

Solution

given line is

x - 5y + 7 = 0

5y = x + 7

y = (x/5) + (7/5)

slope of line = 1/5

for perpensicular lines

m*m1 = -1

m1 = -1/(1/5) = -5

line passes through (7, -11)

A.

point-slope form

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

(y - (-11)) = (-5)*(x - 7)

y + 11 = -5x + 35

B.

Slope-intercept form:

y = mx + c

y + 11 = -5x + 35

y = -5x + 35 - 11

y = -5x + 24