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standard form

Ax + By = C

slope intercept form

A linear equation written in the form: y=mx+b.

point slope form

where m is the slope and (x1, y1) is a point on the line

point slope form is best to use when you know the slope and point that is not the y-intercept

If I know a random point and a slope, which form would the easiest to use to write the equation?

slope intercept works best when you know slope and the y-intercept

If I know the slope and y-intercept, which form of a linear equation should I use?

y-3 = 2(x-2)

Write an equation in point slope form, for a line that passes through (2, 3) with a slope of 2

x = -1

Write the equation of a vertical line through (-1, 6)

y = 6

Write the equation of a horizontal line through (-1, 6)

0

What is the slope of all horizontal lines?

undefined or no slope

What is the slope of all vertical lines?

y+1 = 3(x-2)

Write an equation in point slope form for an equation that is parallel to y = 3x - 4 and passes through (2, -1)

y+1 = -1/3(x-2)

Write an equation in point slope form for an equation that is perpendicular to y = 3x - 4 and passes through (2, -1)

Write y = 2/3x - 4 in standard form

-2x + 3y = -12 or 2x - 3y = 12

y = 2/5x - 2

Write 2x - 5y = 10 in slope intercept form

2/5

What is the slope? 2x - 5y = 7

-7/5

What is the y intercept? 2x - 5y = 7

7/2

What is the x intercept? 2x - 5y = 7

-2/3

What is the slope? y = -2/3x + 4

4

What is the y intercept? y = -2/3x + 4

k = 7/2 or 3.5

If y varies directly with x and y = 7 when x = 2, what is the constant of variation?

y = 7/2 x or y = 3.5 x

if y varies directly with x and y = 7 when x = 2, what is the variation equation?