1. 5.5 Writing Equations in Point-Slope Form
What you’ll learn:
To write the equation of a line in point-slope form.
To write linear equations in different forms.

2. Point-Slope Form
Another form of a linear equation is point-slope form. This is another way to write an equation when given a point and the slope or two points. Point-Slope Form: where is a point on the line and m is the slope. To change an equation from point-slope to slope-intercept form, just solve for y

3. Write the point-slope form of an equation for a line that passes through each point with the given slope.
(4,7), m=3
(-5,-2), m=-1
(-6,3), m=0
(0,-5), m=½

4. Standard Form
Standard form of a linear equation is Ax+By=C. The following conditions must be met in order for it to be in standard form:
A, B, and C can’t be a fraction or a decimal
A must be positive
x and y must be on one side with the number with no variable on the other

5. Write each equation in standard form.
y+3=-½(x+12)
y+3=-½x-6
½x+y=-9
x+2y=-18
y-6=-5(x-4)
y-6=-5x+20
5x+y=26
y-3=2(x-3)
y-3=2x-6
-2x+y=-3
2x-y=3
y-1=-3(x-4)
y-1=-3x+12
3x+y=13

6. Write each equation in slope-intercept form. (Solve for y)
y-3=-2(x+4)
y-3=-2x-8
y=-2x-5
y+4=1(x-5)
y+4=x-5
y=x-9
y-5=½(x-8)
y-5=½x-4
y=½x+1
y+2=0(x-6)
y+2=0
y=-2

7. Classwork p even