Question

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Answer 1

Y= -1/3x+5 is the equation to represent this line

Answer 2

Answer:

Equation of line become $y= \frac{- 1 *x}{3}+ 5$.

Step-by-step explanation:

slope of the line

we know that the formula to calculate the slope between two points is equal to

Slope (m) = $\frac{y_{2}- y_{1} }{x_{2}-x_{1}}$.

substitute the values

(m) = $\frac{6 - 7} }{ -3 - (-6)}$.

(m) = $\frac{-1} }{3}$.

With the slope m and the point (-6, 7)  find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

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

substitute the values

$(y - 7) = \frac{-1}{3} (x - ( -6))$.

$(y - 7) = \frac{-1}{3} (x + 6)$.

$(y - 7) = \frac{-x}{3} +2 )$.

On adding both sides by 7.

$y= \frac{-x}{3} - 2 + 7$.

$y= \frac{-x}{3}+ 5$.

Therefore, equation of line become $y= \frac{-1 *x}{3}+ 5$.