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

Sagot :

Answer: Step-by-step explanation

STEP 1

[tex]slope = \frac{rise}{run}\\\\m = \frac{y2 - y1}{x2 - x1}[/tex]

STEP 2

Substitute point values into the slope equation.

[tex]m = \frac{10 - 7}{5 - 0} = \frac{3}{5}[/tex]

STEP 3

Point-slope form.

[tex]y - y1 = m (x - x1)[/tex]

STEP 4

Substitute any point on the line and the slope for x1, y1, m

[tex]y - 7 = \frac{3}{5} (x - 0)[/tex]

Result

[tex]\\y - 7 = \frac{3}{5}x[/tex]

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