Answer:
Slope: [tex]-\frac{4}{3}[/tex]
Y int. : (0,4)
X int. : (3,0)
Step-by-step explanation:
Equations to remember:
[tex]y = mx + b\\\\\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
--------------------------------------------
[tex](x_{1}, y_{1}) = (6, -4)\\\\(x_{2}, y_{2}) = (0,4)[/tex]
--------------------------------------------
SLOPE
You want to set up your equation for finding slope like this:
[tex]\frac{4 - (-4)}{0 - 6}[/tex]
4 - (-4) will become 4 + 4. This is because there is a -1 in front of the parenthesis.
A negative number times a negative number will always equal a positive number.
[tex]-\frac{8}{6}[/tex]
when simplified/divided by 2, which is the number you want:
[tex]-\frac{4}{3}[/tex]
This is your slope or your m in y = mx + b
---------------------------------------------------------------
Y INTERCEPT
Use one of your points.
I'll use (0,4) as an example.
Set up your equation like this:
[tex]4 = -\frac{4}{3}(0) + b[/tex]
Since your slope is being multiplied by ZERO, you can just eliminate your mx or slope.
This means that 4 = b!
That's your Y Int, which you'll find was one of the given points, (0,4).
---------------------------------------------------------------
From there, if you use a graph, you should find that your X Int is (3,0).
I hope this helped you!
