Write the equation of the line, in slope-intercept form, with the following information slope:1/5 point: (20,-5)

y = 1/5x - 1.

Step-by-step 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

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step-by-step explanation: