line (1,3),(2,5) — step-by-step solution

The slope between the two points is

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

\frac{5 - 3}{2 - 1}

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

5 - 3

2

2 - 1

1

⇥

\frac{2}{1}

⇥

2

The line passes through the first point with this slope:

y = 2 \cdot (x - 1) + 3

⇥ⓘ Expand by multiplying each term inside the parentheses:

2 \cdot (x - 1)

2 x - 2

⇥

y = 2 x - 2 + 3

ⓘ Start from

-2

and move forward

3

on the number line, going past zero:

- 2 + 3

1

▶Line:

y = 2 x + 1