Question

A line passes through point (3, 7) and has a slope of 3/4

Answer 1

To put this information into Slope-Intercept form, you first need to set up a Point-Slope equation. The equation is
`y - y_1 = m (x - x_1)`, where
`x_1` and
`y_1` are your given ordered pair and m is the given slope.


`y - y_1 = m (x - x_1)` Plug in the given information
y - 7 =
`(3)/(4)` (x - 3) Use the Distribuitve Property
y - 7 =
`(3)/(4)`x -
`(9)/(4)` Simplify
`(9)/(4)`
y - 7 =
`(3)/(4)`x - 2
`(1)/(4)` Add 7 to both sides
y =
`(3)/(4)`x + 4
`(3)/(4)`