Question

How do i write this in slope intercept form y=-3/4x+3

Answer 1

The slope-intercept form of a linear equation is an equation in the form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Comparing the given equation with the model, we can see that the equation y = -3/4x + 3 is already in the slope-intercept form, where m = -3/4 and b = 3.

The y-intercept is a point in the form (0, b), so the y-intercept in this case is (0, 3).

In order to calculate the x-intercept, we just need to use y = 0, so we have:

`\begin{gathered} 0=-(3)/(4)x+3 \\ (3)/(4)x=3 \\ x=(4)/(3)\cdot3 \\ x=4 \end{gathered}`

So the x-intercept is the point (4, 0).