Question

Write the equation of the line that passes through the given points. (0, -1) and (-5.-9)

Answer 1

Answer:

$y=\frac{8}{5}x-1$

Step-by-step explanation:

Recall:

• Slope -> $m=\frac{Rise}{Run}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$
• Slope-intercept form -> $y=mx+b$
• Y-intercept -> $b$

Given:

• $(x_1,y_1) = (0,-1)$
• $(x_2,y_2) = (-5,-9)$

Slope calculation:

$Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-1)}{-5-0}=\frac{-9+1}{-5}=-\frac{8}{5}=\frac{8}{5}$

Y-intercept calculation:

$y=\frac{8}{5}x+b$

$-1=\frac{8}{5}(0)+b$

$-1=0+b$

$-1=b$

Final equation:

$y=\frac{8}{5}x-1$