# Slope and a Point

You can graph a line using one point on the line and

the slope. First, graph the point . Then, start at that

point and use the slope to find another point.

**Slope- Intercept Form **

Sometimes, you write equations so you can find the

slope and y - intercept of a line just by looking at the

equation.

y= m x+ b

Here m= slope, and b = y-intercept.

Example: Find slope and y - intercept of y =-x-2

Solution : Compare the above equation with the

Slope- intercept form y= m x+ b

we have m=-1 and b=-2

The slope is -1 and y-intercept is -2.

**The Standard Form.**

Linear equations can be written in many ways. The

standard form is one way.

Standard form is Ax+ By=C

You can rewrite an equation in standard form as an

equation in slope intercept form.

Example: Write the equation 3x+y=-7 in slope-intercept

form.

Solution : substract 3x from both sides

3x-3x+y=-7-3x

y=-3x-7

This is slope intercept form …

Therefore you can write 3x+y=-7 as y=-3x-7.

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