Question

Given a line that passes through the points (-4, 4) and (-9, 3): Find the slope of the line. Use a fraction instead of decimals. Find the equation of the line that passes through the points above. Write your answer in format. Use fractions instead of decimals.

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Answer to a math question Given a line that passes through the points (-4, 4) and (-9, 3): Find the slope of the line. Use a fraction instead of decimals. Find the equation of the line that passes through the points above. Write your answer in format. Use fractions instead of decimals.

Expert avatar
Madelyn
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82 Answers
Find the slope of the line:

m = \frac{y_2 - y_1}{x_2 - x_1}

Substitute the coordinates (-4, 4) and (-9, 3):

m = \frac{3 - 4}{-9 - (-4)}

Simplify the expression:

m = \frac{-1}{-5}

Calculate the slope:

m = \frac{1}{5}

Answer: m = \frac{1}{5}

Find the equation of the line that passes through the points above. Write your answer in format. Use fractions instead of decimals.

y - y_1 = m(x - x_1)

y - 4 = \frac{1}{5}(x + 4)

y - 4 = \frac{1}{5} x + \frac{4}{5}

y = \frac{1}{5} x + \frac{4}{5} + 4

y = \frac{1}{5} x + \frac{4}{5} + \frac{20}{5}

y = \frac{1}{5} x + \frac{24}{5}

necessarily [Solution] y = \frac{1}{5} x + \frac{24}{5}

Answer: y = \frac{1}{5} x + \frac{24}{5}

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