Question

The equation of line L is У = 2(5x + 1) Line L and line M are parallel. a) What is the gradient of line L? b) What is the gradient of line M? c) Write down a possible equation for line M. Give the equation in the form У = mx + c.

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

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

(a)

given the equation of line L is

y = 2(5x + 1) ← distribute the parenthesis by 2 )

y = 10x + 2 ← in slope- intercept form

with gradient m = 10

(b)

• Parallel lines have equal gradients

then the gradient of line M is 10

(c)

A possible equation for line M

gradient = 10 and any value of c will suffice, say c = 6 , then

y = 10x + 6 ← is a possible equation