line (2,2),(3,6) — step-by-step solution

The slope between the two points is

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

\frac{6 - 2}{3 - 2}

⇥ⓘ The numerator and the denominator are computed before the division:

6 - 2

4

3 - 2

1

⇥

\frac{4}{1}

⇥

4

The line passes through the first point with this slope:

y = 4 \cdot (x - 2) + 2

⇥ⓘ Expand by multiplying each term inside the parentheses:

4 \cdot (x - 2)

4 x - 8

⇥

y = 4 x - 8 + 2

ⓘ Start from

-8

and move forward

2

on the number line, getting closer to zero:

- 8 + 2

-6

▶Line:

y = 4 x - 6