linear equation

in algebra, a linear equation is an equation that is a straight line when graphed

the slope of a linear equation, often depicted as $m$, is calculated with rise over run, $\frac{b-d}{a-c}$ for $(a,b)$ and $(c,d)$ are two points on the linear equation

with the slope, $m$, we can find the acute angle, $\theta$, between the equation and the x-axis with $\theta =|{\tan }^{-1}(m)|$

slope-intercept form

a linear equation can be in slope-intercept form, $y=mx+b$, where $m$ is the slope and $(0,b)$ is the y-intercept

point-slope form

a linear equation can be in point-slope form, $y-b=m(x-a)$, where $m$ is the slope and $(a.b)$ is a point on the line

standard form

a linear equation can be in standard form, $ax+by=c$, where $a$, $b$, and $c$ are constants

references

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/a/point-slope-form-review