Question

NEED ASAP!! WILL MARK BRAINLIEST
1. Write an equation for line L in​ point-slope form and​ slope-intercept form.
L is parallel to y=2x.

2. Write an equation for line L in​ point-slope form and​ slope-intercept form.
L is perpendicular to y=5x.

3. Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through ​(-8​,​-5) and parallel to the line whose equation is y= -3x+4

4. Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through ​(​5,-4​) and parallel to the line whose equation is y=1 over 5x+3

5. Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through ​(7​,​-9) and parallel to the line whose equation is x-2y-5=0

Answer 1

Given : L is parallel to y=2x.

To Find : Write an equation for line L in​ point-slope form and​ slope-intercept form

Solution:

Point-slope  form y-y₁=m(x-x₁)

​ slope-intercept form   y = mx +b.

intercept form (x/a) + (y/b) = 1  

y = 2x

=> y - y₁ = 2(x - x₁)  Point-slope  form

y = 2x + c  ​ slope-intercept form

equation for line L in​ point-slope form and​ slope-intercept form.

L is perpendicular to y=5x

slope = -1/5

=> y - y₁ = (-1/5)(x - x₁)  Point-slope  form

y = (-1/5)x + c  ​ slope-intercept form

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