Slope
Find the slope of the line that passes through:
(4,0) and (3,3)
-3
Find the constant of variation (k) of the direct variation:
y = -5x
k = -5
What is the equation of a line that passes through (3,-4) with a slope of 6?
y + 4 = 6(x - 3)
What is the y-intercept of the line of this equation?
y=-3x + 2
2
Is this a horizontal or vertical line?
x = 5
Vertical
Find the slope of the line that passes through:
(1,3) and (5,5)
1/2 or .5
Find the constant of variation (k) of the direct variation:
-12x = 6y
k = -2
What is the equation of a line that passes through (4,2) with a slope of -5/3?
y - 2 = -5/3(x - 4)
What is the slope of the line of this equation?
y= -5x + 6
-5
What is the x-intercept of this equation?
7x - y = 21
3
Find the slope of the line that passes through:
(-2,1) and (7,1)
0
Find the constant of variation (k) of the direct variation:
-4 + 7x + 4 = 3y
k = 7/3
What is an equation in point-slope form for the line that passes through the given points:
(2,4) and (-3, -6)
y - 4 = 2(x - 2)
or
y + 6 = 2(x + 3)
What is the equation of the line that passes through:
(0,3) and (2,5)
y=x+3
What is the y-intercept of this equation?
3x - 5y = -20
4
Find the slope of the line that passes through:
(0, -1) and (2,3)
2
Find the constant of variation (k) of the direct variation:
y=5 when x=2
k = 5/2 or 2.5
What is an equation in point-slope form for the line that passes through the given points:
(-6, 6) and (3,3)
y - 6 = -1/3(x + 6)
or
y - 3 = -1/3(x - 3)
What is the equation of the line that passes through:
(-2,4) and (3,-1)
y= -x + 2
What is this equation in standard form?
y = 2x + 5
-2x + y = 5
Find the slope of the line that passes through:
(2, -3) and (5, -4)
- 1/3
Find the constant of variation (k) of the direct variation:
y=7.5 when x=3
k= 5/2 or 2.5
What is an equation in point-slope form for the line that passes through the given points:
(1,4) and (-1,1)
y - 4 = 3/2(x - 1)
or
y - 1 = 3/2(x + 1)
What is the equation of the line that passes through:
(-3,3) and (1,2)
y = -1/4x + 9/4
What is this equation in standard form?
y = -2/3x - 1
2x + 3y = -3