Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form.
$(- 2, - 1), (5, 4)$
What is the slope-intercept form of the equation that passes through $(- 2, - 1)$ and $(5, 4)$ ?
(Simplify your answer. Type your answer in slope-intercept form.)

Answer

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Answer

$y = \frac{5}{7} x + \frac{3}{7}$

Steps

Step 1 ：Find the slope (m) using the slope formula: m = $\frac{y 2 - y 1}{x 2 - x 1}$

Step 2 ：m = $\frac{4 - (- 1)}{5 - (- 2)}$ = $\frac{5}{7}$

Step 3 ：Use the point-slope form to find the equation of the line: y - y1 = m(x - x1)

Step 4 ：y - (-1) = $\frac{5}{7}$ (x - (-2))

Step 5 ：y + 1 = $\frac{5}{7}$ x + $\frac{10}{7}$

Step 6 ：y = $\frac{5}{7}$ x + $\frac{3}{7}$

Step 7 ： $y = \frac{5}{7} x + \frac{3}{7}$