G11 - Coordinate Geometry

The distance between the points (3,-4) and (-7,2) is

• 16

• 6

The midpoint of the line joining (-1,-3) and (3,-5) is

• (1,1)

• (0,0)

• (2,-8)

• (1,-4)

• (1,-1)

The gradient of the line joining (1,4) and (-2,5) is

• 3

• -3

The gradient of the line perpendicular to the line joining (-1,5) and (2,-3) is

• 2

What is the slope of the line that has points (8,3) and (5,1)?

What is the slope of a line with the points (4,3) and (6,1)?

What is the slope of a line with the points (2.5, 7) and (-4,-8)?

Consider a line in the xy-coordinate plan in which to get from point A to point B, one must go up +5 units vertically and go over +3 units horizontally. What is the slope of this line?

What is the slope and y-intercept of a line with the equation y = 5x - 7?

• 5; -7

• -7; 5

• 5; 7

• 7; 5

If ax + by = 5 is a line in the xy-coordinate plane in which a and b are constants, which of the following expresses the slope of the line?

• a

• -a/b

• -b/a

• 5