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

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

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

the equation of the line is

`y=(1)/(5)x+4.4`