WeBWorK using host: https://webwork.pcc.edu, format: simple, seed: 2031, course: orcca

A line $\kappa$ is parallel to the line with equation $y=-3.5x+17\text{,}$ but $\kappa$ passes through the point $(-12,23)\text{.}$ What is an equation for $\kappa\text{?}$

Solution

Parallel lines have the same slope, and the slope of $y=-3.5x+17$ is $-3.5\text{.}$ So $\kappa$ has slope $-3.5\text{.}$ We know a point that $\kappa$ passes through, so we can use point-slope form to write its equation as

$y=-3.5(x+12)+23\text{.}$