slope of 2y=4x+5 — step-by-step solution

⇥Let's solve in

ℝ

2 y = 4 x + 5

⇥ⓘ Both sides are divided by

2

⇥

y = \frac{4 x + 5}{2}

⇥ⓘ A fraction whose numerator is a sum splits term by term, (a + b)/c = a/c + b/c:

\frac{4 x + 5}{2}

2 x + \frac{5}{2}

⇥Solution obtained:

y = 2 x + \frac{5}{2}

The slope-intercept form is

y = m x + b

: the slope is

2

and the y-intercept is

\frac{5}{2}

▶Slope:

2