Question

Write an equation in slope-intercept form for the line passing through (–1, 10) and (5, 8).

Answer 1

the formula to find slope m of a line that passes through two points \((x_1,y_1)\) and \((x_2,y_2)\) is
\[m=\frac{y_2-y_1}{x_2-x_1}\]
then the equation of that line in slope intercept form will be
\[y=\frac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1\]