Question

How do you write an equation in slope-intercept form of the line that passes through (1,4); parallel to y=7x-3?

Answer 1

I found: `y=7x-3`

Explanation:

You can find the equation using the general relationship for the equation of a line:
`y-y_0=m(x-x_0)`
where:
`m=`slope
`x_0,y_0` are the coordinates of your point.
To be parallel the two line must share the same slope `m`. Your line has slope `m=7` (the coefficient of `x`) and you can use your coordinates to get:
`y-4=7(x-1)`
`y=4+7x-7`
`y=7x-3`