What is the equation of the line with a slope of 1/4 and a y-intercept of 2?

Equation of the line in slope intercept form is

y = 1/4 * x + 5. Slope is 1/4. Intercept is 5.

If x= 4, y = (1/4)*4 + 5 = 6.

The point (4,6) lies on the line.

Equation of the line in point slope form is

(y - y1)= m * (x - x1) where m is slope & (x1,y1) is point on the line.

Substituting slope m= 1/4 & point (4,6),

Equation of the line in point-slope form is:

(y - 6) = 1/4 * (x - 4).

Sanjay C.