Transform Equations to Slope-Intercept Form
Given the equation: 2x+3y=15, find the slope and y-intercept of this line.
m = -2/3
b = 5
(y=-2/3x+5)
Graph the equation y=2/3x+2
[Graph containing the points (0,2), (2,5) and (-2,-1) where m=2/3 and b=2]
Find the equation of line "1" in the image.
x=6
What is the equation of a line parallel to the line: y=2x+20 and passing through the origin?
y=2x
Write the equation of the line in point-slope, slope-intercept and standard form.
m=2, goes through the point (0,4)
PSF: y-4=2(x-0)
GF: y=2x+4
SF: -2x+y=4
Given the equation: y-2=4(x-3), find the slope and y-intercept of the line.
m=4
b=-10
(y=4x-10)
Graph the equation y=-2
[Graph of a horizontal line crossing the y-axis at -2]
y=4x
What is the equation of a line parallel to y=1/2x-4 and passing through the point (0,2)
y=1/2x+2
Write the equation of the line in point-slope, slope-intercept and standard form.
Intersects (0,4) and (1,8)
GF: y=2x+4
PSF: y-8=2(x-1) or y-4=2(x-0)
SF: -2x+y=4
m=10/7
b=-3
(y=10/7x-3)
Graph the equation y-3=1/2(x+6)
[graph of a line passing through the points (0,6), (1,8) and (-1,4) with m=1/2 and b=6]
Find the equation of line "3" in the image.
y=-5
What is the equation of a line parallel to the line y=6x+3 and passing through the point (-2,6)?
y=6x+18
Write the equation of the line in point-slope, slope-intercept and standard form.
m=-1/3, goes through the point (1,4)
PSF: y-4=-1/3(x-1)
GF: y=-1/3x+13/3 (or y=-1/3x+4.333...)
SF: x+3y=13
Given the equation: y+4=-1/4(x+12), find the slope and y-intercept.
m=-1/4
b=-7
(y=-1/4x-7)
Graph the equation 5x-3y=6
Find the equation of line "4" in the image.
y=-1/2x-2
What is the equation of a line perpendicular to the line y=2/5x+3 and passing through the point (0,9)?
y=-5/2x+9
Write the equation of the line in point-slope, slope-intercept and standard form.
A line parallel to y=6x-5 and passing through the point (8,-4)
GF: y=6x-52
PSF: y+4=6(x-8)
SF: -6x+y=-52
Given the equation: y+2/3=-5/6(x+1/2), find the slope and y-intercept of the line.
b=-13/12
(y=-5/6x-13/12)
Graph the equation y-2=1/3(x+6)
[A graph passing through the points (0,4), (3,5) and (-1, 1) with m=1/3 and b=4]
Find the equation of line "5" in the image.
y=3/4x+2
What is the equation of a line perpendicular to the line y=-6x and passing through the point (-12,9)
y=1/6x+11
Write the equation of the line in point-slope, slope-intercept and standard form.
A line perpendicular to y=-3/4x, going through the point (-1,-1)
PSF: y+1=4/3(x+1)
GF: y=4/3x+1/3
SF: -4x+3y=1