Converting
Convert the following function from Standard form to slope-intercept form:
6x + 2y = 14
1. 6x + 2y = 14
2. SUBTRACT 6x from Both Sides
6x + 2y = 14
2y = 14 - 6x
3. DIVIDE BOTH SIDES BY 2
2y = 14 - 6x
y = 7 - 3x
ANSWER: y = -3x + 7
What is the x-intercept of:
2x + 7y = -10
x = -5
(-5,0)
4x - 4 > 8
x > 3
1/2( x - 8) = 10
x = 28
What is the slope of a line parallel to the following:
y = -(2/3)x + 7
m = -2/3
Convert from point slope form to slope intercept form:
y - 3 = 2(x + 7)
1) Distribute 2
y - 3 = 2x + 14
2) Add 3 to both sides
ANSWER: y = 2x + 17
What is the y intercept of:
3x - 2y = 8
y = -4
(0,-4)
-2y - 3 < 17
y > -10
3x - 6 = -4x - 27
x = -3
What is the slope of a line perpendicular to the following:
y = 1/2x -9
Convert the following function from Standard form to slope-intercept form:
x - 4y = 16
1) Subtract x from both sides
-4y = -x + 16
2) Divide by -4 on both sides
ANSWER: y = -(1/4)x - 4
What is the value of m if the x intercept is 8?
mx + 3y = 24
m=3
3(x - 4) < -12
x < 0
3/4(x - 2) = 1/2(x + 7)
x = 20
What is the equation of a line parallel to the equation
y = 3x -2 with point (-7, 1)
y = 3x + 22
Convert from point slope form to slope intercept form:
y - 3 = -2 (x + 5)
1) Distribute
y - 3 = -2x -10
2) Add 3
ANSWER: y = -2x -7
What is the value of r if the y intercept is 11?
2x - ry = 66
1/2 (-2y + 6) < 10
y > -7/2
2/3( 3x - 1) = 4(-2x + 8) + 3x
x = 14/3
What is the equation of a line perpendicular to
y = 2/3x - 4 that contains the point (2,-1)
y = -3/2x + 1
Convert from standard form to slope intercept form:
7x - 3y = -11
y = -7/3x + 11/3
What is the value of k if the x intercept is 3?
kx + 2y = 1
1/3 (-12y - 6) + y > -1
y < -1/3
1/4( 2x + 1) = 1/2(-x - 7) +8
x = 17/4
What is the equation of a line perpendicular to
y = 2/5x - 1 that contains the point (-4,-2)
y = -5/2x + 8