BECE Mathematics 2024 Paper

Steps to find equation of a line
1. Find the gradient/slope of the line
2. Use the point (x,y) and any known point on the line to calculate the slope/gradient
3. Equate the expression in step 2 to the calculated gradient/slope in step 1
4. Make y the subject of the equation in step 3
‌ Slope\/Gradient ‌=‌

‌ Change in ‌Y

‌ Change in ‌X

=‌

Y2−Y1

X2−X1

Pick any two points on the straight line to calculate the slope.
Using (1,1) and ( 0,3 )
‌Y2=3
‌Y1=1
‌X2=0
‌X1=1

Slope/Gradient =‌

3−1

0−1

=‌

2

−1

=−2
Using the point (x,y) and (1,1)
‌

y−1

x−1

=−2
Every number is being divided by 1.
‌−2=‌

−2

1

‌‌

y−1

x−1

=‌

−2

1

Cross multiply
‌1×(y−1)=−2x(x−1)
‌y−1=−2x+2
‌y=−2x+2+1
‌y=−2x+3