Point-Slope Form
What two pieces of information do you need for point-slope form?
Point
Slope
What is Standard Form?
Ax+By=C
Identify the slope and y-intercept:
y = -1/3x + 5
m = -1/3
y int: (0, 5)
Identify the point and the slope
y - 2 = 3 (x - 1)
slope = 3
(1, 2)
Convert the standard form equation to slope-intercept.
-2x + 3y = 6
y = 2/3x + 2
Identify the slope and y-intercept
screenshot of graph
y: (0,2)
m = 3/4
Write an equation in point-slope form
m = -2
(0, 1)
y - 1 = 2(x - 0)
What is the slope of this equation?
4x - 2y = 5
-4/-2 = 2
Identify the slope and y-intercept:
y = x
m = 1
y int: (0,0)
Write an equation in point slope form for the following information:
m: 1/2
Coordinate: (4,-5)
y + 5 = 1/2 (x - 4)
Write the following in slope intercept form.
6x - 2y = -12
y = 3x - 2
Convert the following into slope-intercept form:
3x - 4y = 2
y = 3/4x - 1/2
Write an equation in point slope form, based on the graph: see diagram
y - 2 = -1/3 (x -1)
Convert the following into Standard Form:
y - 2 = -3 (x + 2)
3x + y = -4
Use the information to write an equation in slope intercept form:
screenshot of table
y = 2x + 3