Question

How do you find the slope and y intercept of `y=-3/4x+3`?

Answer 1

Slope: `(-3/4)color(white)("XXXXXXXX")`y-intercept: `3`

Explanation:

Any linear equation of the form:
`color(white)("XXX")y=color(blue)(m)x+color(red)(3)`
is in "slope-intercept form"
with slope `=color(blue)(m)` and y-intercept `=color(red)(b)`

`y=color(blue)(-3/4)x+color(red)(3)`
is in this form
so slope `=color(blue)(-3/4)` and y-intercept `=color(red)(3)`

Answer 2

slope `= -3/4`
y-intercept = 3

Explanation:

One form of the equation of a straight line is y = mx + c , often referred to as the slope-intercept form.

In y = mx + c , m , represents the gradient (slope ) and c , the y-intercept.

hence an equation in this form allows access to m and c .

therefore for `y = -3/4 x + 3`

slope `= -3/4color(black)(" and y-intercept ") = 3`