# How do you write the equation of a line with slope 0.5 and y-intercept 7.5?

Jul 20, 2017

$y = 0.5 x + 7.5$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m represents the slope and b the y-intercept}$

$\text{here " m=0.5" and } b = 7.5$

$\Rightarrow y = 0.5 x + 7.5 \text{ is the equation of the line}$

Jul 20, 2017

y = 0.5x + 7.5 or 2y = x + 15

#### Explanation:

The y intercept form of an equation is

$y = m x + b$

m = slope ( think mountain ski slope)

b = y intercept ( Thing beginning where x is zero)

so

m = 0.5

b = 7.5 so

y = 0.5 x + 7.5 multiplying by 2 removes the decimal fractions. so

2y = x + 15