Slope-Intercept
Find the intercept of the equation, y = -5⁄3x - 4
(as a coordinate)
(0,-4)
Write an equation in slope-point form that passes through (2, 0) and has a slope of - 5
y - 2 = -5(x)
*this is the same as y - 2 = -5(x - 0)
True or False: The following equation is in General Form:
0 = -3X + 2Y - 8
FALSE
What is the slope of a line that is perpendicular to the line
y = 1/2X + 7?
m = -2
Fully factor the following expression:
x2+7x+12
(x+3)(x+4)
Which of the following points are on the line represented by the equation
y = 4/3x -2?
(2, 3) (-2,0) (-3, -6)
(-3,-6)
Write an equation in slope-point form that passes through the point (-2,3) and has a slope of 2/3
y - 3 = 2/3 (x + 2)
Convert the following equation into General Form:
y = 1/2X - 4
X - 2Y - 8 = 0
What is the equation of a line in GENERAL FORM that is parallel to the line
y = 1/5 x + 2
that passes through the origin?
X - 5Y = 0
Fully factor the following expression:
x2+ x - 90
(x - 9)(x + 10)
Write the equation
5x - 4y = 20
in slope-intercept form.
y = 5⁄4x - 5
A line has a point at (9,6) and has a slope of 3. What is the equation of the line in Slope-Intercept form? (hint: you will need to use slope-point form first)
Y = 3X - 21
Which of the following points is NOT on the line represented by the equation
3X - 5Y - 4 = 0?
(8, 4) (0, -0.8) (-2,2) (-3,1)
(-2,2)
What is the equation of a line in slope-intercept form that is parallel to the line
5X - Y - 2 = 0
and passes through the point f(0) = 4
y = 5x + 4
Fully factor the following expression:
6x2+66x+60
6(x+10)(x+1)
DOUBLE JEOPARDY! THIS QUESTION IS WORTH DOUBLE THE AMOUNT OF POINTS!
What is the equation of a line in slope-intercept form with a slope of -1 and f(0)=0
y=-x
The line
y − 4 =− 3(x + 8)
goes through the point (k, 7).
Determine the value of k.
k = -9
Convert the following equation into general form:
Y + 9 = -4/3(X - 3)
4X +3Y + 15 = 0
What is the equation of a line in slope-intercept form that is parallel to the x-axis and goes through the point (6,2)?
y = 2
Fully factor the following expression:
-18x5 + 3x3 - 21x - 9
3(-6x5 + x3 - 7x - 3)
A Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year. Write an equation in slope intercept form to model the situation.
y = 0.7 - 0.05x
OR
y = -0.05X + 0.7
The line
y + 6 = 4/3 (x + C)
has a y-intercept of 2. Determine the value of c.
C = 6
The line
3x + 4y - C = 0
contains the point (-1, -4). What is the value of C?
C = -19
Determine an equation in general form, representing a line that is:
- perpendicular to:
y = 3X + 2/3
- with the same y-intercept as:
2X - Y - 10 = 0
X + 3Y + 30 = 0
Fully factor the following expression:
-4x2yz7 - 40xyz7 - 96yz7
-4yz7(x+6)(x+4)