Question

write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation.

Answer 1

y=mx+c
Gradient, m=
`(change in y)/(change in x)`
m=
`(15-7)/(5-1)`
m=
`(8)/(4)`
m=2
y=mx+c
y=2x+c
replacing for x and y using point (1,7)
7=2(1)+c
7=2+c
c=5
y=2x+5