Question

For each of the equations, give the gradient of a line that is

Parallel to the graph
perpendicular to the graph
f(x)=2x-1

Answer 1

2 and -
`(1)/(2)`

Explanation:

the equation of a line in slope- intercept form is

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

f(x) = 2x - 1 ← is in slope- intercept form

with gradient m = 2

• Parallel lines have equal gradients , then

the gradient of a parallel line is also 2

given a line with gradient m then the gradient of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(2)`