Question

Find, in gradient-intercept form, the equation of a line which has:

a gradient of -4/5 and which passes through (4,-2)

Answer 1

The gradient is -4/5, so the equation is of the form

`y=-(4)/(5)x+c`

Substituting in the coordinates (4, -2),

`-2=-(4)/(5)(4)+c \\ \\ c=(6)/(5) \\ \\ \therefore y=-(4)/(5)x+(6)/(5)`