Equation of line

Gradient

100

Writ down the formula for calculating the gradient 

m=(y₁-y₂)/(x₁-x₂) or m=(y₂-y₁)/(x₂-x₁)

200

Find the gradient of the joining points A(2,7) and B(6,1).   

m=-3/2

300

A line joining (x,0) and (5,-2) has a slope of 3/4.Find the value of x.

x=23/3

400

Line passes through points P(n,3) and Q(4,n+2). What values of n will make the line to be vertical?

n=4

500

Find the value of x so that the straight line joining the points (x,-5) and (2,1) has the same gradient as the line passing through points (1,5) and (-2,-1).

x=-1

Equation of line

100

Find the gradient of equation y=8-4x 

m=-4

200

Find the equation of straight line passing through points P(3,7) and Q(-2,-3)

y=2x+1

300

Determine the value of k in order that the straight line whose equation kx-y=5 passes through point (2,5).

k=5

400

Find the x-intercept of equation passing through the points (-4,3) and (1,-7).

x-intercept=-5/2

500

Verify whether the point (2,-1) lie on the line joining the points A(-4,5) and B(-2,1).

NO

NECTA 2024

100

Find the GCF and LCM of the numbers 90 and 240.

GCF = 30, LCM = 720

200

 Change 1.2323... into a mixed number.

1  23/99.

300

How much money will you have to lend in order to get the interest of sh. 36,000 at 5% per annum if you lend it for 6 months?

1,440,000 shillings.

400

Nyanjara bought 50 bottles of milk for 70 children. If the capacity of each bottle is 300 ml, find the amount of milk in litres that Nyanjara bought.

15 litres.

500

Solve for x in the equation 

1 - (x + 2)/2 = x - 3.

x = 8/3.