Question

Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3

Answer 1

Answer:

First, we must determine b using slope-intercept form*, the given point, and the given slope.

$-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b$

Second, we need to set up the equation of the line in slope-intercept form.

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

Third, we convert the above equation to STANDARD FORM**.

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

We now have our equation: $\frac{1}{3}x - y = -1$

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c