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## Find the equation of the line between the points (10, – 5) and ( – 2,0).

Question

Find the equation of the line between the points (10, – 5) and ( – 2,0).

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Mathematics
3 years
2021-07-30T23:29:03+00:00
2021-07-30T23:29:03+00:00 1 Answers
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## Answers ( )

Answer(assuming it can be in slope-intercept form):Step-by-step explanation:1) First, find the slope of the line between the two points by using the slope formula, . Substitute the x and y values of the given points into the formula and solve:

Thus, the slope of the line is .

2) Next, use the point-slope formula to write the equation of the line in point-slope form. Substitute values for , , and in the formula.

Since represents the slope, substitute in its place. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn’t matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form: