Determining the Equation of a Line from Two Points

Factoring polynomials

Solving quadratic equations

Graphing parabolas

Finding the equation of a line given two points

Slope-intercept form

Quadratic form

Standard form

Point-slope form

Plot the y-intercept and use the slope to find other points

Plot any random point and draw a line

Plot the given point and use the slope to find other points

Plot the x-intercept and use the slope to find other points

Negative

Positive

Zero

Undefined

y = mx + b

y = 0

y = c

y = 1

y = x + c

ax + by = c

y = mx + b

y - y1 = m(x - x1)

The slope

The y-coordinate of the point

The y-intercept

The x-coordinate of the point

Add the y-coordinates and divide by the x-coordinates

Add the x-coordinates and divide by the y-coordinates

Subtract the y-coordinates and divide by the x-coordinates

Subtract the x-coordinates and divide by the y-coordinates

7/5

4/7

5/7

1/5

y = -3x + 4

y = 4x + 3

y = -4x + 3

y = 3x - 4