Question

I'm a bit confused on how to do this I will medal and fan if someone can answer and explain this.

Using the points (3, 4) and (-5, 8) find the following:
a. Slope.
b. Point-Slope form of the equation.
c. Slope-intercept form of the equation.

Answer 1

Slope formula is
\[m=\frac{ y2-y1 }{ x2-x1 }\]
So you plug in (8-4)/(-5-3) and that's your slope for A. :)

Answer 2

For B,
point slope form is y-y1=m(x-x1)
So basically, you plug in y-4=m(x-3)
With your slope in there too.

Answer 3

For C,
slope-intercept form is y=mx+b
So you can take your point-slope
y-4=m(x-3) <--with slope in there too
The slope needs to distribute to what's in the parentheses, so
y-4=mx-3m
Then y needs to be by itself, so add the 4 to both sides.
y=mx-3m+4

Hope that all helps! If you're still confused I can work it out for you, or just check your answers :)

Answer 4

@bruhhh Thank you!