Question

consider the linear equation y = 2x - 4. Write an equation in slope intercept form for the line parallel to the given line through (-1, 6)

Answer 1

the form of the linear equation is

`y=mx+b`

with the given equation we have

`y=2x-4`

where m=2, m is the slope of the line

if we have parallel lines the slope needs to be the same

so in order to find a linear equation parallel to y=2x+4

we use the slope m=2 and the point given (-1,6)

`(y-y_1)=m(x-x_1)`

where (-1,6)=(x1,y1)

then

`(y-6)=2(x+1)`
`y=2x+2+6`
`y=2x+8`

the equation of the line parallel to y=2x-4 is y=2x+8