Question

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

Answer 1

Equation of a line can be given by :

y = mx + b

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

$\mathcal{ \hookrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} }$

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

$\hookrightarrow \: \dfrac{6}{ - 5}$

$\hookrightarrow \: m = \dfrac{ - 6}{5}$

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 .

$\hookrightarrow \: - 7 = (\dfrac{ - 6}{5} \times 5) + b$

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

$\hookrightarrow \: b = - 1$

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

$\hookrightarrow \: y = mx + b$

$\boxed{ \boxed{\: y = \dfrac{ - 6}{5}x - 1 }}$

That's All, I hope it helped ya

Answer 2

4,3,2,1,0,-1, -2, -3, -4,