What is the slope intercept form of the line

Question

What is the slope intercept form of the line that passes through the point (2,5) and has a slope of 1/2

Answer 1

If you start with the point-slope form of the equation of a line, (y-y₁) = m (x-x₁), you have:

        y - 5 = (1/2)(x-2)

        y - 5 = (1/2)x -1

          y = (1/2)x + 4

Answer 2

We want it in the format

Y = mx + b

 

Let's find the y intercept

So plug in (2,5) and slope 1/2.

5=1/2 * 2 + b

b= 5 - 1 = 4

This gives us

y = 1/2 x + 4

Answer 3

The slope-intercept equation is y = mx + b.

 

Plug in the slope (1/2).

 

y = (1/2)x + b.

 

Use the point you were given to solve for the y-intercept, b.

 

5 = (1/2)(2) + b

 

5 = 1 + b

 

4 = b

 

Write the equation.

 

y = (1/2)x + 4