Answer:
y=4x+4
Step-by-step explanation:
Things you ought to know
1. The equation of a linear function is y=mx+b
2. "m" is the slope
3. "b" is the y-intercept (the value of y when x is equal to zero)
How to find the slope:
1. The formula of slope is [tex]\frac{y_{2} - y_{1}}{x_2-x_1}[/tex]
2. Find two x coordinates and two y coordinates
Finding the slope in this equation:
1. two coordinates: (-2, -4) (3, 16)
2. Use the formula
[tex]\frac{-4-(16)}{-2-(3)}[/tex]
[tex]\frac{-20}{-5}[/tex]
[tex]4[/tex]
now we know to slope
Plug it back into the equation:
The equation becomes y=4x+b
Now we find the y-intercept (b)
Use a coordinate like (-2, -4)
Substitute
-4=4(-2)+b
-4=-8+b
+8-4=-8+8+b
4=b
b=4
Now we know the equation
y=4x+4
