Find an equation for the line that passes through the points (-1,-5) and (-5,1)

Answer (assuming it can be written in slope-intercept form):

Step-by-step explanation:

1) First, find the slope using the slope formula, . Substitute the x and y values of the given points into the formula and solve:

2) Next, use the point-slope formula to write an equation. Substitute , , and for real values.

represents the slope, so substitute for it. The and represent the x and y values of one of the points the line intersects, so choose any of the given points and substitute their x and y values into the formula. (Any choice is fine, it will result to the same equation. I chose (-5, 1) as shown below). Finally, isolate y to put the equation into slope-intercept form:

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step-by-step explanation: