Question

What gradient would a straight line have if it was parallel to y=4x+2

Answer 1

It would have a gradient of 4.

`\Large\texttt{Explanation}`

We are asked to find out what gradient a line would have if it was parallel to the line
`\boldsymbol{y=4x+2}`.

Recall that two parallel lines have the same gradient. So, the new line has the same gradient as y = 4x + 2.

Let's find the gradient of y = 4x + 2. Since the line is written in slope intercept form, the gradient is the number in front of x, which is 4.

The line that's parallel to y = 4x + 2 also has a gradient of 4.

`\therefore` It would have a gradient of 4.

Answer 2

gradient m = 4

Explanation:

the equation of a line in slope- intercept form is

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

y = 4x + 2 ← is in slope- intercept form

with gradient m = 4

• Parallel lines have equal gradients )

Then the gradient of a parallel line is m = 4