Question

Work out the equation of the straight line which has a gradient of 2

Answer 1

you are missing part of your question

Explanation:

Answer 2

Note: It seems you may forget to write the complete statement. Maybe you should have either mentioned the y-intercept or any other point to work out the equation.

Anyways I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.

Answer:

We conclude that the equation of a line using the slope-intercept form is

• 
  `y=2x+2`

Explanation:

I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.

The slope-intercept form of the equation

`y=mx+c`

Here

• m is the slope

• c is the y-intercept

Substituting the point (1, 4) and m=2 to determine the y-intercept

`y=mx+c`

`4 =2(1)+c`

`4 = 2+c`

`c = 4-2`

`c = 2`

Thus, the equation of a line using the slope-intercept form is

`y = mx+c`

• m=2

• c=2

`y=2x+2`

Therefore, we conclude that the equation of a line using the slope-intercept form is

• 
  `y=2x+2`