Gradient and Equations of straight lines

What is the gradient of line joining (-4,5) and (2,-7)?

What is the gradient of a line that is parallel to 4y=8x+12?

What is the gradient of a line that is perpendicular to y=-½x+4?

What is the y-intercept of a line with gradient of -3 and passes through (6,-3)?

Line AB is perpendicular to line y=6x+12 and passes through (12,4). Find the y-intercept of the line AB.

Line RS has a gradient of -5 and passes through (2,6). Find the y-intercept of the line RS.

Which of the following has a negative gradient?

• y=4x-5

• 5x+2y=6

• y-2x=9

• y-3x=10

Which of the following lines is perpendicular to y=⅙x-9?

• y=6x+5

• y=-6x+3

• 2y-12x=7

• y=3x+13

Find the gradient of the line joining (7,-4) and (10,-16).

Find the y-intercept of a line that is parallel to y=-3x+10 and passes through (1,7).