Question

What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?

Answer 1

The equation for this is y= 4x+5

Answer 2

`y=4x+5`

Explanation:

Mathematically, the slope m of a line is:

`m=(\Delta y)/(\Delta x) = (y-y_o)/(x-x_o)`

Therefore, if we know the slope m of the line and a point
`(x_o , y_o)` we will be able to find its equation simply solving for y:

`y-y_o=m(x-x_o)`

Replacing the data provided by the problem:

`y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5`