Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:
[tex]\frac{0-10}{-3-(-5)}[/tex]
0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
[tex]\frac{-10}{2}[/tex] = -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3
