Slope
Which variable represents slope of the following equation. y = mx + b
the variable m
What is slope-intercept form?
y = mx + b
What is point-slope form?
y - y1 = m(x - x1)
Ax + By = C
Convert the following equation to slope-intercept form:
y - 6 = 1/2(x + 16)
y = 1/2x + 14
Identify the slope of the following equation. y = 2x + 3
slope is 2
When graphing linear equations (in slope intercept form), where do we begin?
We begin at the y-intercept.
What information does point-slope give us?
A point on the line and the slope.
What information does standard form give us?
Easy access to the x and y-intercept
Convert the following equation into standard form:
y = -3x + 15
3x + y = 15
Describe how you use slope on a graph.
Rise over run!
Write the equation of a line with a slope of -3 that passes through the point (0, -2)
y = -3x - 2
Write an equation in point-slope form that has a slope of -1/2 and passes through the point (-5 , 7)
y - 7 = -1/2(x + 5)
What is the x and y intercepts of the following equation?
6x + 15y = 30
(5 , 0) and (0 , 2)
What is the slope of a line Parallel to the line below?
y = 3/5x + 2
m=3/5
Find the slope of the line that includes the following points. (4, -5) (-2, 1)
6/-6 which simplifies to -1
What is the equation of the line passing through the points (-1 , -1) and (3 , 7)
y=2x+1
Describe how you would graph the following equation:
y + 6 = -5(x - 1)
Find the x and y intercept of the following:
2x -3y =12
x intercept (6,0)
y intercept (0,-4)
What is the slope of the line that is perpendicular to the line below?
y = -3x+4
m = 1/3
Find the slope of the line that includes the following points. (-1, 2) (-3, -3)
-2/-5 = 2/5
Write an equation in slope-intercept form using the following information:
m=-3 and (2 , 5)
y = 3x + 11
Convert the equation to slope intercept form.
y + 3 = 2(x + 4)
y = 2x +5
Graph the line below:
2x = -8
Vertical line with an x intercept (0,-4)
Convert the following to slope intercept form.
2x+3y = 9
y = -2/3x+3