Slope-Intercept Form
y=mx+b
What is the Point-Slope Form?
y-y1=m(x-x1)
What is the Standard Form?
Ax+By=C
If two lines are parallel, their slopes are ________
the same
Change the following slope-intercept equation into standard form:
y=2x-7
-2x+y=-7
Create the slope-intercept form given the following info:
m=4
b=-5
y=4x-5
Create the point-slope form equation given the following info:
slope: 5
point: (3,4)
y-4=5(x-3)
How do we find the x-intercept from a standard form equation?
plug in y=0 and solve for x
What slope is perpendicular to 1/2?
-2
y-3=2(x-1)
y=2x+1
What is the y-intercept of the given equation? (needs to be an (x,y) point)
y=3x-9
(0,-9)
What is the slope of the given equation?
y+6=-2(x-4)
m=-2
What is the y-intercept of the following equation:
3x + 4y = 24
y=6
(0,6)
Are these lines parallel, perpendicular, or neither?
y=2x-5
y=-2x+5
neither
Change the following slope-intercept form into standard form:
y=-1/3x+4
1x+3y=12
Which of the following slope-intercept form equations has a y-intercept at (0,-6)?
y=-6x+4
y=6x-4
y=4x-6
y=4x-6
What is the point given in the following equation? (x1,y1)
y+2=3(x-1)
What is the x-intercept of the following equation:
-3x-2y=12
x=-4
(-4,0)
Are the two lines parallel, perpendicular, or neither?
y=3/4x+7
y=-4/3x-8
perpendicular
Describe the two steps needed to turn the following standard form equation into slope-intercept form:
2x + 3y = 8
subtract 2x from each side, then divide everything by 3
Given the following equation in slope-intercept form, find the x-intercept (x,0).
y=-3x-6
(-2,0)
Given the following equation in point-slope form, find the y-intercept (0,y).
y-2=2(x-3)
(0,-4)
Find the x and y intercepts of the following equation:
4x+5y=20
xint (5,0)
yint (0,4)
Create the equation of the line that is parallel to the given line and has a b value of 4
y=-5x+9
y=-5x+4
Which of the following equations is the same as y=2x+2?
y-3=2(x-4)
-4x+2y=4
-4x+2y=4