Question

Please help me out! i absoluten don’t get this :(

Answer 1

Answer:

Option B

Step-by-step explanation:

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

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

Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,

m = $\frac{-1+2}{3+5}$

m = $\frac{1}{8}$

Equation of the line passing through (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of the line passing through (3, -1) and slope = $\frac{1}{8}$ will be,

$y+1=\frac{1}{8}(x-3)$

$y=\frac{1}{8}x-\frac{3}{8}-1$

$y=\frac{1}{8}x-\frac{11}{8}$

Option B will be the answer.