# How do you find the slope and y-intercept for the line y = -7/4 x +2?

Sep 28, 2015

Slope: $- \frac{7}{4}$
y-intercept: $2$

#### Explanation:

Any linear equation in the form
$\textcolor{w h i t e}{\text{XXX}} y = m x + b$
is in a form called the "slope-intercept form"
with a slope of $m$
and a y-intercept of $b$

$y = - \frac{7}{4} x + 2$ is in this form
with $m = - \frac{7}{4}$
and a y-intercept $= 2$

Sep 28, 2015

You do it like this:

#### Explanation:

A straight line is of the form:

$y = m x + c$

$m$ is the gradient

$c$ is the intercept i.e the point at $x = 0$ where the line cuts the $y$ axis.

So for the line:

$y = - \frac{7}{4} x + 2$

The slope $m = - \frac{7}{2}$ and the intercept $c = 2$ graph{y=-7/2x+2 [-10, 10, -5, 5]}

Sep 28, 2015

Slope=$- \frac{7}{4}$

y-intercept=$2$

#### Explanation:

The coefficient of $x$ (that is, the number being multiplied by $x$) is the slope. Therefore, the slope= $- \frac{7}{4}$

The y-intercept is the constant in the equation (that is, it is the number that is not being multiplied by any variable, such as $x$ or $y$). Therefore, the y-intercept= $2$

The equation of a line can generally be written as $y = m x + c$, where $m$ is the slope and $c$ is the y-intercept.