Write the equation of a line in slope intercept form that passes through the two points. 4,-1 and 6,-7

A line has an equation of,

.

m is called a slope

n is called y-intercept

We are also given two points .

We begin with computing the slope,

We have computed the slope m and our equation is almost done,

Next step is to find out what y-intercept n is. I will use point and insert x and y it into already known equation, then solve for n,

The reason I can insert coordinates of a point as x and y is because this particular point is in the line described by equation,

Hope this helps. :)

step-by-step explanation:

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