Question

What is the equation of the line parallel to the given line with an x intercept of 4?

Answer 1

Equation is y = 4x + 4

Explanation:

• General equation of a line:

`{ \rm{y = mx + c}} \\`

• m is the slope

`{ \tt{m = (y _(2) - y _(1) )/(x _(2) - x _(1) ) }} \\ \\ { \tt{m = (5 - ( - 3))/( - 1 - ( - 3)) }} \\ \\ { \tt{m = (8)/(2) }} \\ \\ { \underline{ \tt{ \: \: m = 4 \: \: }}}`

• c is the y-intercept.

→ substitute:

`{ \rm{y = 4x + 4}}`

Answer 2

y=4x+-16

Explanation: