Writing equation of a line with slope

Question

Greetings,

I think the fraction is throwing me off but..

I have to write the equation of a line with a slope of m=1/2 that passes through the point of (2,5). Can anyone explain how I solve this?

Answer 1

There are 2 ways to solve.

1. Plug in our info and solve for b.

y = mx + b

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

5 = 1 + b

b = 4

y = (1/2)x + 4

2. Use the formula.

y - y₁ = m(x - x₁)

y - 5 = (1/2)(x - 2)

y - 5 = (1/2)x - 1

y = (1/2)x + 4

Answer 2

Slope Intercept form of line

Y = mx + b

Where m is slope and b is y intercept

And ( x,y ) is given (2,5)

m = 1/ 2

So

5 = (1/2)2 +b

5= 1+ b

4= b

Equation of line

y = (1/2)x +4