Forms of Linear Equations
What equation do we use to find the slope between two points?
(y2-y1)
_______
(x2-x1)
What is the slope of y=6x+4
6
Write the equation of a line in slope intercept form of a line with a slope of 3⁄4 and a y-intercept of -4
y=3⁄4 x-4
or
y=3⁄4 x+-4
The slopes of parallel lines are...
The same
or
Equal
The slope of perpendicular lines are...
opposite reciprocals
or
opposite sign and fraction
What form is y=mx+b?
Slope-Intercept
What is the slope of y-3=3⁄4 (x+7)
3⁄4
Write an equation in point-slope form of a line that has a slope of -8 and goes through the point (4,2)
y-2=-8(x-4)
6
What is the slope of a line that is perpendicular to y=-5⁄2x-7
⅖
What form is y-y1=m(x-x1)?
Point-Slope
What is the slope between the points (3,6) and (-4,1)
5/7
Write the equation of a line in point-slope form of a line that goes through the points (1,6) and (3,18)
y-6=6(x-1)
or
y-18=6(x-3)
What is the equation in slope-intercept form of a line that is parallel to y=-3x+5 that has a y-intercept of -3?
y=-3x-3
or
y=-3x+-3
What is the slope of a line that is perpendicular to the line y+4=-(x+3)
1
What form is Ax+By=C?
Standard Form
What is the slope of 5x+y=8
-5
Write the equation of a line in standard form of a line with a slope of 3 that goes through the point (2,2)
3x-y=4
What is the equation in slope-intercept form of a line parallel to y=6x-2 that goes through the point (1,6)?
y=6x
or
y=6x+0
What is the equation of a line in slope-intercept form of a line that is perpendicular to y=5x-2 and goes through the point (5,-6)?
y=-⅕x-1
What does "rate of change" mean?
Slope
What is the slope of 8x-4y=16
2
Write the equation of a line in slope-intercept form that is the same as 15x+5y=2
y= -3x + ⅖
What is the equation in point-slope form of a line that is parallel to y-3=2(x+2) and goes through the point (6,3)?
y-3=2(x-6)
What is the equation in point-slope form of a line that is perpendicular to y+6=7⁄3(x-2) and goes through the point (3,8)?
y-8=-3⁄7(x-3)