Answer:
a) b= 2
b) b= 10
c) b= 2a
d) a= ½b
Step-by-step explanation:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Given: gradient= 2
[tex] \frac{b - 0}{a - 0} = 2[/tex]
[tex] \frac{b}{a} = 2[/tex]
a) When a= 1,
[tex] \frac{b}{1} = 2[/tex]
b= 2
b) When a= 5,
[tex] \frac{b}{5} = 2[/tex]
Multiply both sides by 5:
b= 2(5)
b= 10
c)
[tex] \frac{b}{a} = 2[/tex]
Multiply by a on both sides:
b= 2a
d) 2a= b
Divide both sides by 2:
a= ½b
