X and Y Intercepts
When solving for an x or y intercept, what key number do you plug in?
zero
What is point slope form?
y-y1=m(x-x1)
you plug in the x and y and see if the solution is true.
What does the word eliminate mean?
get rid of, cancel, cross out, etc.
How would you solve this set of systems by substitution?
x=5
y=-x+12
plug the 5 into x in the second equation and y=7
(5,7)
To graph a function that is in standard form, what is the first step?
Find the x- and y-intercepts, plot them, find the slope, & plot more points.
(Or: turn into slope-intercept form if possible)
Write the point-slope form of the equation. (4,-4) slope=-2
y+4=-2(x-4)
Is (1,1) a solution to the following systems of equations:
y=2x-1
5x-4y=1
yes
Solve the set of systems by elimination:
3x-2y=-28
7x+2y=-12
(-4,-8)
Solve the set of systems by substitution:
x=-2
x+3y=4
(-2,2)
A y-intercept is where the graph does what?
crosses the y-axis
Write the slope intercept form of the equation.
slope=-5
y-intercept=5
y=-5x+5
Is (1,3) a solution to the following systems of equations:
y=4x-2
y=-3x+5
no
Solve the set of systems by elimination:
4x-2y=-8
4x-9y=20
(-4,-4)
Solve the set of systems by substitution:
y=-3x
4x-2y=-20
(-2,6)
solve for both the x and y intercepts of this equation:
x+5y=5
x=5
y=1
Write the slope intercept form of the equation.
(2,4) and slope=1
y=x+2
Is (0,1) a solution to the following systems of equations:
-5y=-5
6x+7y=7
yes
Solve the set of systems by elimination:
8x+10y=16
-4x+y=16
(-3,4)
Solve the set of systems by substitution:
y=-3x+4
y=4x-10
solve for both the x an y intercepts of this equation: -4x+8y=24
GIVE YOUR ANSWERS AS ORDERED PAIRS!
x-int: (-6,0)
y-int: (0,3)
Write the point-slope form of the equation.
Slope=5
y-intercept at the y-value of 3
y-3=5(x+0)
Is (10,10) a solution to the following systems of equations:
y=-8x-3
x+y=7
no
Solve the set of systems by elimination:
-3x-3y=3
-5x+2y=19
(-3,2)
Solve the set of systems by substitution:
x=3y+12
2x=4y+12
(-6,-6)