Question

A line has the equation 2y = 7x - 9

a) What is the gradient of the line?
b) What is the y-intercept of the line?
yor
an integr
fraction

Answer 1

gradient =
`(7)/(2)` , y- intercept = -
`(9)/(2)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Given

2y = 7x - 9 ( divide through by 2 )

y =
`(7)/(2)` x -
`(9)/(2)` ← in slope- intercept form

with gradient m =
`(7)/(2)` and y- intercept c = -
`(9)/(2)`