Answer:
y = -4x - 3
Step-by-step explanation:
The slope intercept form is as follows:
y = mx + b
m = slope
b = Y-intercept
We already have the y-intercept...it is -3. This is because the y-intercept is wherever x is equal to zero. In the second pair (0,-3) we see that the x is zero so this has to be the y-intercept.
To find the slope we can use the slope equation:
[tex]slope = \frac{y2-y1}{x2-x1}[/tex]
Let's define the variables:
y2 = -3
y1 = 5
x2 = 0
x1 = -2
Plug them into the equation
[tex]slope = \frac{-3-5}{0-(-2)} = \frac{-8}{2} = -4[/tex]
The slope is -4
Now that we have the slope and y-intercept we can write the equation in slope intercept form:
y = -4x - 3
Hope this helps!!
- Kay :)
