Question

Given the points (0,5) and (5,9) and on a line, find its equation in the form y=mx+b.

Answer 1

Given

two points on a line (0,5) and (5,9)

Find

Equation of the line

Explanation

Equation of a line in standard form is

y - y1 = m(x - x1)

$m=\frac{y2-y1}{x2-x1}=\frac{9-5}{5-0}=\frac{4}{5}$

Putting the values in the equation

$\begin{gathered} (y-5)=\frac{4}{5}(x-0) \\ y-5=\frac{4x}{5} \\ y=\frac{4}{5}x+5 \end{gathered}$

Final Answer

$y=\frac{4}{5}x+5$