Gradient
What is the gradient of the line that passes through P(2, 2) and Q(4, 12)?
m = 5
What are the coordinates of the midpoint of the interval (1, 3) and (7, 3)?
M = (4, 3)
What is the length of the interval P(−3, 1) and Q(9, 6)?
d = 13 units
What is the equation of a line with gradient of 3 and y-intercept 6?
y = 3x + 6
Does the point (-3, 6) lie on the line y = 2x – 3 ?
Must show calculations with answer.
y = 2x - 3
6 = 2 * -3 - 3
6 = -9
No it doesn't.
What is the gradient of the line y = 5x + 1 ?
m = 5
What are the coordinates of the midpoint of the interval (-4, 5) and (-4, -11)?
M = (-4,-3)
What is the length of the interval A(0, 6) and B(8, 0)?
d = 10 units
What is the equation of a line with gradient -4 and y-intercept -10
y = -4x - 10
What is the gradient of the line 3y - 12x + 6 = 0 ?
Must show calculations with answer.
m = 4
What is the gradient of the line that passes through P(3, 9) and Q(5, 3)?
m = -3
What are the coordinates of the midpoint of the interval (1, 3) and (7, 5)?
M = (4, 4)
What is the length of the interval A(−2, 7) and B(4, -1)?
d = 10 units
What is the equation of the line that passes through the point (-8, 0)?
x = -8
What is the x- and y- intercepts of the line y = -6x + 18 ?
x-intercept = 3
y-intercept = 18
What is the gradient of the line y = 10 - x/2 ?
m=-1/2
What are the coordinates of the midpoint of the interval (5, −3) and (1, 1)?
M = (3, -1)
What is the length of the interval A(5, −2) and B(1, −2)?
d = 4 units
What is the equation of the line that passes through the point (0, 6)
y = 6
Are the lines 5y + 25x - 100 = 0 and -15y + 75x + 25 = 0 parallel?
Must show calculations with answer.
5y + 25x - 100 = 0 -15y - 75x + 25 = 0
5y = -25x + 100 15y = -75x + 25
y = -5x + 20 y = -5x + 5/3
Yes. Gradients are the same, m = -5
What is the gradient of the line y = -8 ?
m = 0
What are the coordinates of the midpoint of the interval (-2/3, 4) and (5/12, -7)
M = (-1/4, -3/2)
Find the distance between the pair of points U(2, 4) and V(7, 1), leaving your answer in surd form.
d = sqrt 34 units
What is the equation of the line with x-intercept -2 and y-intercept 2?
y = x + 2
Are the lines 3y + 21x - 42 = 0 and -98y + 14x + 21 = 0 perpendicular?
Must show calculations with answer.
3y + 21x - 42 = 0 -98y + 14x + 21 = 0
3y = -21x + 42 98y = 14x + 21
y = -7x + 14 y = -1/7x + 3/14
Yes. Gradients are the same, m = -5