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 be able to explain your 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 y - 12x = 0 ?
y = 12x, so m = 12
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 (0, -8) and (5, -3)?
y = 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) and (3, 6)
y = 6
Are the lines y = 5x + 2 and y = 4x + 2 parallel?
Must be able to explain your answer
No, they have different gradients, 5 and 2, so they are not parallel
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 5?
y = 2.5x + 5
Are the lines y = 5x and y = -5x perpendicular (crossing at right angles)?
Must be able to explain your answer
No, these are mirror images at a steep angle so would have smaller angle between the top and bottom and a bigger angle side to side.