Question

How do you write an equation for each line in point-slope form and slope-intercept form if slope=4, passing through (1,3)?

Answer 1

For `(x,y)` on a straight line and a fixed point `(a,b)` also on the line, the constant slope, `m` is
`(y-b)/(x-a) = m`
(that is, the change in `y` divided by the corresponding change in `x`)

For the given example, we have
`(y-3)/(x-1) = 4`

Simplified as
`y-3 = 4(x-1)`
for point-slope form

and
`y = 4x-1`
for point-intercept form