Question

If (5,5) and (2,4) are the two points on a line, what is the equation of that line

Answer 1

The equation of line is:

$y=\frac{1}{3}x+\frac{10}{3}$

Step-by-step explanation:

Given two points are:

(5,5) = (x1,y1)

(2,4) = (x2,y2)

The slope intercept form is:

$y=mx+b$

We have to find slope first

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4-5}{2-5}\\m=\frac{-1}{-3}\\m=\frac{1}{3}$

Putting the value of slope in the equation

$y=\frac{1}{3}x+b$

To find the value of b, putting (5,5) in the equation

$5=\frac{1}{3}(5)+b\\5=\frac{5}{3}+b\\b=5-\frac{5}{3}\\b=\frac{15-5}{3}\\b=\frac{10}{3}$

Putting the value of b and m

$y=\frac{1}{3}x+\frac{10}{3}$

The equation of line is:

$y=\frac{1}{3}x+\frac{10}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

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