Answer:
y = 1/5x - 1.
Explanation:
Slope intercept form: y = mx + b
in this equation, the m is the slope (the amount the line moves vertically divided by the amount it moves horizontally from one point to another) and the b is the y-intercept (meaning where the line meets with the y-axis when graphed).
So, m is equal to 1/5 because that is the slope.
Now, to find b (the y-intercept), I am going to plug in the coordinate values of the point (20,-5) into the equation.
The 20 is the x coordinate and the -5 is the y-coordinate because the point is written in (x, y) form.
Here's how it looks with everything plugged in:
-5 = 1/5(20) + b.
The slope-intercept form is y = mx + b, and I just plugged in my values where
y (y-coordinate)= -5
m (slope)= 1/5
x (x-coordinate) = 20
Now that I know everything, I just need to solve for b, the y-intercept:
-5 = 1/5(20) + b.
-5 = 4 + b (simplified)
-1 = b
so, the y-intercept is -1.
Now, in slope-intercept form, the answer is: y = (1/5)x - 1.
hope this helped <3