# What is the equation for a line with slope of 0.75 and y intercept of -5?

Oct 23, 2015

$y = 0.75 x - 5$

#### Explanation:

Here given that slope $\left(m\right) = 0.75$
and $y$-intercept of $- 5$ means that the line passes through the $y$-axis at $y = - 5$.

The $x$-coordinate at $y$-axis is zero

So $\left(x 1 , y 1\right) = \left(0 , - 5\right)$ is the point the line passes through

Equation of the line is given by;

$\left(y - y 1\right) = m \left(x - x 1\right)$

$\left(y + 5\right) = 0.75 \left(x - 0\right)$

$y + 5 = 0.75 x$

So,
$y = 0.75 x - 5$ is the equation of the line.