Question

Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)​

Answer 1

Answer (this one's written in slope-intercept form):

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

Step-by-step explanation:

1) Lines that are parallel to each other have the same slope. The line $y=\frac{3}{5} x-8$ is in slope intercept form, or $y = mx + b$ form, and the number in place of $m$ represents the slope. Knowing this, it looks like $\frac{3}{5}$ is in the place of the $m$ in that equation, so  $\frac{3}{5}$ is the slope - and the slope we need to use for the answer, too.

2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or $y-y_1 = m (x - x_1)$. $m$ is the slope and $x_1$ and $y_1$ are the x and y values of the point it must pass through. So, substitute $\frac{3}{5}$ for $m$, 0 for $x_1$, and -3 for $y_1$. Simplify and isolate y to put it in slope-intercept form:

$y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3$

3) Thus, $y = \frac{3}{5} x - 3$ is the answer. It's written in slope-intercept form.