Question

Find the Quetion of the line that passes through the points (1,6) and (5,2)

Answer 1

Answer:

$y=-x+7$

Step-by-step explanation:

Equation of straight line is given as

$y-y_1=m(x-x_1)$

where slope m is calculated as

$m=\frac{y_2-y_1}{x_2-x_1}$

Here

$(x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)$

$m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1$

Equation of line that passes through the points (1,6) and (5,2)

$y-6=-1(x-1)\\y=-x+7$