## Slope-Intercept Form Calculator

The slope-intercept form of a linear equation makes it easier for us to identify how steep a line is and where it crosses the $y$-axis.

✨ Drag the points on the graph to see how they affect the equation of the line! ✨

When we're given , we first need to find the slope. Then, we can use the slope and one of the given points to solve for the $y$-value of the $y$-intercept and write the equation in slope-intercept form.

Given | Solve for Slope ($m$) | Solve for $y$-value of $y$-intercept ($b$) | Slope Intercept Form |

Point 1: $(1 ,1 )$ Point 2: $(3 ,5 )$ | $m =x_{2} −x_{1} y_{2} −y_{1} =3 −1 5 −1 =24 =2 $ | $y 1 1−1 =mx +b=2(1 )+b=2+b=b $ | $y$ $=$$m$$x$$+$$b$ $y$ $=$$2$$x$$+$$($$−1$$)$ $y=2x−1$ |

### What is Standard Form?

The general formula for the standard form of a linear equation is $Ax+By=C$, where $A$, $B$, and $C$ are all integers.

We can go from standard form to slope-intercept form by isolating $y$ and simplifying:

### What is Point-Slope Form?

The general formula for the point-slope form of a linear equation is $y−y_{1}=m(x−x_{1})$, where $m$ represents the slope of a line that contains the point ($x_{1}$, $y_{1}$).

We can go from point-slope form to slope-intercept form by isolating $y$ and simplifying:

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## How to Find the Slope-Intercept Form of a Line

Find the slope-intercept form of a line using