What is the equation of the line in standard form that passes through the point (3,

May 2021 2 741 Report

What is the equation of the line in standard form that passes through the point (3, –2) and is parallel to the?

line y = –4x + 1?

^sorry there was tooo many characters the options are:

x + 4y = 10

x – 4y = –10

4x – y = –10

4x + y = 10

and please show your work

y = - 4x + 1 has slope - 4

Line parallel will have same slope

Plug in the points (3,-2) and the slope m = - 4

y - y1 = m(x - x1)

y - - 2 = - 4(x - 3)

y + 2 = - 4x + 12

y = - 4x + 12 - 2

y = - 4x + 10

Rearrange into standard form

4x + y = 10

Parallel lines have the same slope. Slope of line = -4.

y = -4x + c

when x = 3. y = -2

-2 = -12 + c

c = 10

Equation of line is y = -4x + 10 which is 4x + y = 10