# How do you find the slope given y + 4x = 5?

Mar 28, 2016

standard form is $\text{ } y = - 4 \cdot x + 5$.
-4 is the slope & 5 the y-intercept.

#### Explanation:

standard form is $y = m x + c , \therefore y = - 4 \cdot x + 5$
-4 is the slope & 5 the y-intercept.

Mar 28, 2016

slope =$\textcolor{w h i t e}{.} - 4$

#### Explanation:

The standardised equation for a straight line graph is:

$\text{ } y = m x + c$

As $x$ can be assigned any value you chose it is called the independent variable

As the value of $y$ depends on the value you assign to $x$ it is called the dependant variable

The slope (proper name is gradient ) is $m$ this represents the amount of up or down for the amount along as you read left to right.
If m is negative then it is a downward slop. If m is positive then it is an upwards slop.

The constant $c$ just lifts or lowers the graph. If it is $- c$ then the line is lowered by that amount. If it is $+ c$ then the graph is raised by that amount.
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Given: $\textcolor{b r o w n}{y + 4 m = 5}$

Converting this equation to standard form

Subtract $\textcolor{b l u e}{4 m}$ from both sides giving:

" "color(brown)(y+4mcolor(blue)(-4m)" "=" "5color(blue)(-4m))

$y + 0 = - 4 m + 5$

$\text{ } \textcolor{g r e e n}{y = - 4 x + 5}$
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$\textcolor{m a \ge n t a}{\text{ So the slope is } - 4}$.

This means for 1 along the x-axis y goes down by 4