Slope-Intercept Form
Piecewise Functions
Writing Equations in Slope-Intercept Form
Write the Equation in Point-Slope Form
Challenge
100
The form of the equation shown below:
y=-4x+2
What is slope-intercept form?
100
Evaluate the piecewise function at f(-3)
5x-1 if x<-2
f(x) = { x+3 if x> -2
6 if x =-2
What is f(-3) = -16
100
In slope-intercept form, the equation of the line that has a slope of -5 and a y-intercept of 14.
What is y=-5x+14 ?
100
In point-slope form, the equation of the line that has a slope of -2 and passes through the point (3,24).
What is y-24=-2(x-3) ?
100
The equation of the vertical line that crosses the x-axis at -3.
What is x=-3 ?
200
'm' stands for this in slope-intercept form.
What is the slope of the line?
200
Evaluate the piecewise function at f(-2)
5x-1 if x<-2
f(x) = { x+3 if x> -2
6 if x =-2
What is f(-2)=6
200
In slope-intercept form, the equation of the graph shown below:
What is y=x+2 ?
200
In point-slope form, the equation of the line that has a slope of (-1/3) and passes through the point (-14,-21).
What is y+21=(-1/3)(x+14) ?
200
In slope-intercept form, the equation of the line that passes through the points (-1,-2) and (-5,-6).
What is y=x-1 ?
300
'b' stands for this in slope-intercept form.
What is the y-intercept of the line?
300
Graph the piecewise function.
5x-1 if x<-2
f(x) = { x+3 if -2 2
Graph on board
300
In slope-intercept form, the equation of the graph shown below:
What is y=(2/5)x-(1/5) ?
300
In point-slope form, the equation of the line shown below:
What is y-2=2(x-1) ?
(There are other correct answers...make sure the point you used for (x1,y1) is on the line and that your slope is 2)
300
Three equations to represent three lines parallel to the line y=(-2/3)x+10.
What is any equation with a slope of (-2/3) ?
(Any y-intercept or other point used is fine; the only thing that matters is that the slope is (-2/3).)
400
The equation below in slope-intercept form:
4x+2y=8
What is y=-2x+4 ?
400
Graph the piecewise function
-x+4 if x<-1
f(x) = { 3 if -12
Graph on board.
400
In slope-intercept form, the equation of the line that passes through the points (4,4) and (5,-2).
What is y=-6x+28 ?
400
In point-slope form, the equation of the line that is parallel to the line y=2x+4 and passes through the point (-3,-1).
What is y+1=2(x+3) ?
400
In standard form, the equation that is parallel to the line y=(-1/2)x+2 and passes through the point (2,4).
What is x+2y=10 ?
500
The equation below in slope-intercept form:
y-6=-10(x+3)
What is y=-10x - 24 ?
500
Write the equation of the line on the board.
x+2 if x<-3
f(x) = { x+5 if -31
500
In slope-intercept form, the equation of the line that is parallel to the line y=-4x+10 and passes through the point (2,5).
What is y=-4x+13 ?
500
In point-slope form, the equation of the line that is parallel to y-2=-5(x-3) and has an x-intercept of 4.
What is y-0=-5(x-4) ?
(There are other correct answers...make sure your slope is -5 and that your point falls on the correct line!)
500
In standard form, the equation of the line shown below.
What is x+2y=-6 ?