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

Answer:

$y=4x+5$

Step-by-step explanation:

Mathematically, the slope m of a line is:

$m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}$

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:

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