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

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

Steps

Step 1 ：Find the slope (m) using the slope formula: m = $\frac{y2 - y1}{x2 - x1}$

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