Slope-Intercept Form
What is the "slope-intercept form" equation?
y=mx+b
What is the "point-slope form" equation?
y-y1=m(x-x1)
What is the "standard form" equation?
Ax+By=C
What do two lines need to have in order to be parallel?
The same slopes
What do two lines need to have in order to be perpendicular?
Slopes that are opposite reciprocals (flipped fraction with opposite sign)
Write this equation in slope-intercept form: x=(1/4)y-2
y=4x+2
What is the equation of the line that has a slope of 2 and goes through the point (-7, 5) in point-slope form?
y-5=2(x+7)
What are the x and y-intercepts of the line 5x-2y=10?
x=2, y=-5
Give an equation that would be parallel to the equation y=-3x+3
y=-3x+_____
Give an equation that would be perpendicular to the equation y=-3x+3
y=(1/3)x+______
Rewrite this equation in slope-intercept form: 2+4y=3x+10
y=(3/4)x+32
What is the equation of the line that has a slope of -(1/2) and goes through the point (2, -6) in point-slope form?
y+6=-(1/2)(x-2)
Write the following equation in standard form: y=-(2/9)x+2
2x+9y=18
What is the equation of a line that is parallel to the line y=3x-6 and goes through the point (1, 2)?
y=3x-1
What is the equation of a line that is perpendicular to the line y=2x-4 and goes through the point (3, 2)?
y=-(1/2)x+3.5
What is the equation of the line that goes through the points (2, 1) and (5, -8) in slope-intercept form?
y=-3x+7
What is the equation of the line that goes through the points (1, 4) and (6, 19) in point-slope form?
y-4=3(x-1)
Write the following equation in standard form: y=-2x-(2/7)
14x+7y=-2
What is the equation of a line that is parallel to the line y=(1/4)x-3 and goes through the point (4, -3)?
y=(1/4)x-4
What is the equation of a line that is perpendicular to the line 2x+3y=6 and goes through the point (2, 5)?
y=(3/2)x+2
What is the equation of the line that goes through the points (0, 10) and (4, 20)?
y=(5/2)x+10
What is the equation of the line that goes through the points (-5, 4) and (1, 6) in point-slope form?
y-6=(1/3)(x-1)
Write the following equation in standard form: y-8=3(x+1)
-3x+y=11
What is the equation of a line that is parallel to the line 2x-4y=8 and goes through the point (3, 0)?
y=(1/2)x-(3/2)
There is a line that goes through the points (-2, -3) and (2, 5). What is the equation of a line that is perpendicular to that line and also goes through the point (2, 7)?
y=-(1/2)x+8