What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`?

The slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4 is

Solution:

Given that line passes through (5, -4)

Slope "m" =

We have to find the slope intercept form

The slope intercept form is given as:

y = mx + b  ---- eqn1

where "m" is the slope of the line and "b" is the y-intercept

Here in this sum m =

Calculating y-intercept:

Substitute (x, y) = (5, -4) and "m" value in eqn 1, we get

Now eqn 1 becomes,

Hence the slope intercept form is

answer: a and b

step-by-step explanation: