line (0,4),(-3,0) — step-by-step solution

The slope between the two points is

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{0 - 4}{-3}

⇥ⓘ Adding 0 changes nothing:

0 - 4

-4

■The minus signs of the numerator and the denominator cancel out:

\frac{-4}{-3}

\frac{4}{3}

⇥

\frac{4}{3}

The line passes through the first point with this slope:

y = \frac{4}{3} \cdot x + 4

ⓘ Multiplying a fraction by a term multiplies its numerator:

\frac{4}{3} \cdot x

\frac{4 x}{3}

▶Line:

y = \frac{4 x}{3} + 4