Coordinate Geometry

Show that the line 4y = 5x-10 is perpendicular to the line 5y+4x = 35.

• $-\frac{4}{5}\times\frac{5}{4}=-1$

• $\frac{4}{5}\times\frac{5}{4}=1$

Find the gradient of the line that is perpendicular to the line 2y = 3+5x.

• 0.4

• -0.4

• $\frac{2}{5}$

Find the gradient of the line L.

• 1.45

• 1.5

• 1

Find the equation of the line L in the form y = mx+c.

• $y=1.5x+1$

• $y=-1.5x-1$

• $y=1$

Line L passes through the points

(0, -3) and(6, 9).

(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

• 
  

  $\left(a\right)\ y=2x-3$ $\left(b\right)y=-\frac{1}{2}x+2$
  

• $\left(a\right)\ y=2x+3\ \ \ \ \$ $\left(b\right)y=-2x+2$

The equation of a straight line is 2y = 3x+4.

Find the gradient of this line.

• 1.5

• 1

• 1.3

The equation of a straight line is 2y = 3x+4.

Find the co-ordinates of the point where the line crosses the y-axis..

• (2, 0)

• (0, 2)

• (0, -2)

Find the equation of line L

• y = −2x + 6

• y = 2x + 6

• y = −2x - 6

The equation of the line L IS y = −2x + 6,

Find the equation of the line perpendicular to line L that passes through (9, 3).

• y = 0.5x +1.5

• y = 0.5x −1.5

• y = -0.5x −1.5

A is the point (8, 5) and B is the point (- 4, 1).

Calculate the length of AB.

• 11.56

• 12.56

• 12.6