Question

What is the equation of a line with b=2 and point at (3,8)

Answer 1

y = 2x + 2

Explanation:

Equation of the line in slope y-intercept form: y =ax + b.

Here, m is the slope and b is the y-intercept.

b = 2

The above equation becomes,

y = mx + 2

The line passes through the point (3, 8). Substitute the co-ordinates in the above equation and find the value of m.

8 = m*3 + 2

Subtract 2 from both sides,

8 - 2 = 3m

6 = 3m

3m = 6

Divide both sides by 3,

m = 6 ÷ 3

`\boxed{\bf m = 2}`

Equation of the line:

y = 2x + 2