Write the equation of the line that passes through (5,-7) and (0, -1)

Question

asked Mar 6, 2022 66.5k views

2 Answers

Crazy Crab · Answer 1 · 2022-03-12T04:05:55+0000

Equation of a line can be given by :

y = mx + b

Let's find the slope of the line (m) :

$\mathcal{ \hookrightarrow \: (y_2 - y_1)/(x_2 - x_1) }$

$\mathcal{ \hookrightarrow \: ( - 1 - ( - 7))/(0 - 5) }$

$\hookrightarrow \: (6)/( - 5)$

$\hookrightarrow \: m = ( - 6)/(5)$

now let's solve for b :

$\hookrightarrow \: y = mx + b$

Let's plug the values of x and y from the coordinates of a point .

$\hookrightarrow \: - 7 = (( - 6)/(5) * 5) + b$

$\hookrightarrow \: - 7 = - 6 + b$

$\hookrightarrow \: b = - 1$

now, let's put the value of m (slope) and b (y-intercept) in the equation.

$\hookrightarrow \: y = mx + b$

$\boxed{ \boxed{\: y = ( - 6)/(5)x - 1 }}$

That's All, I hope it helped ya