Question

Write an equation of the line passing through (-2,4) and (3,5). Give the answer in standard form.The equation of the line in standard form is   enter your response here.

Answer 1

Start finding the slope of the line

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{then,} \\ m=\frac{5-4}{3-(-2)} \\ k=\frac{1}{5} \end{gathered}$

using one of the points find the intercept and the standard form

$\begin{gathered} (-2,4) \\ 4=\frac{1}{5}(-2)+b \\ b=4+\frac{2}{5} \\ b=4.4 \end{gathered}$

the equation of the line is

$y=\frac{1}{5}x+4.4$