Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (-2,-8) and parallel to the line whose equation is y=-3x+4

Ayaana Buck

Ayaana Buck

Answered question

2021-05-27

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-2,-8) and parallel to the line whose equation is y=3x+4
Write an equation for the line in point-slope form and slope-intercept form.

Answer & Explanation

Dora

Dora

Skilled2021-05-28Added 98 answers

Step 1
To determine a line's equation that is parallel to another line whose equation is y=3x+4. The slope of the necessary line is equal to -3 because we know that parallel lines have the same slope.
m=3
Also the given point is
(x1,y1)=(2,8)
Step 2
Using the slope-intercept form of the equation for the line
y=mx+c
point slope form
(yy1)=m(xx1)
Step 3
Given below is the equation for the line in slope-intercept form.
y=3x+c
Since line is passing through (-2,-8) so
8=3(2)+c
8=6+c
c=14
So equation becomes
y=3x14
Step 4
Additionally, the line's equation in point-slope form is provided by
(y(8))=3(x(2))
y+8=3(x+2)

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