Question

what is the equation of the following line? (7,2) (0,0)

Answer 1

Let m = slope

m = (0-2)/(0-7)

m = -2/-7

m = 2/7

y - 0 = (2/7)(x - 0)

y = (2/7)x

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Answer 2

The equation of the line for the given coordinates $(7,2) , \ (0,0)$ is equal to $y= \frac{2}{7}x$.

What is equation?

"Equation is defined as the relation between the variables using the sign of equality."

Formula used

Slope $'m' = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

Equation of line passing through a point

$y- y_{1} = m (x- x_{1})$

According to the question,

Given coordinates,

$(x_{1} ,y_{1}) = (7,2)\\\\(x_{2} ,y_{2}) = (0,0)$

Substitute the value in the formula to get slope,

$m = \frac{0-2}{0-7}$

   $= \frac{2}{7}$

Substitute the value in the formula to get equation of the line,

$y-2= \frac{2}{7} (x-7)\\\\\implies y-2 = \frac{2}{7}x -2\\ \\\implies y = \frac{2}{7}x$

Hence, the equation of the line for the given coordinates $(7,2) , \ (0,0)$ is equal to $y= \frac{2}{7}x$.

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