Respuesta :

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

  • [tex]y=2x+2[/tex]

Step-by-step 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

[tex]y=mx+c[/tex]

Here

  • m is the slope
  • c is the y-intercept

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

[tex]y=mx+c[/tex]

[tex]4 =2(1)+c[/tex]

[tex]4 = 2+c[/tex]

[tex]c = 4-2[/tex]

[tex]c = 2[/tex]

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

[tex]y = mx+c[/tex]

  • m=2
  • c=2

[tex]y=2x+2[/tex]

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

  • [tex]y=2x+2[/tex]

Answer:

you are missing part of your question

Step-by-step explanation: