A line passes through the points (0, –7) and (5, –10). What is its equation in slope-intercept form?

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

<h2>Answer: Step-by-step explanation</h2><h3>STEP 1</h3>

$slope = \frac{rise}{run}\\\\m = \frac{y2 - y1}{x2 - x1}$

<h3 /><h3>STEP 2</h3><h3>Substitute point values into the slope equation.</h3><h3> $m = \frac{10 - 7}{5 - 0} = \frac{3}{5}$ </h3><h3></h3><h3>STEP 3</h3><h3>Point-slope form.</h3><h3> $y - y1 = m (x - x1)$ </h3><h3></h3><h3>STEP 4</h3><h3>Substitute any point on the line and the slope for x1, y1, m</h3><h3> $y - 7 = \frac{3}{5} (x - 0)$ </h3><h3></h3><h3>Result</h3><h3> $\\y - 7 = \frac{3}{5}x$ </h3>

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