Slope Intercept Formula
The slopeintercept formula is used to find the slope or the yintercept as well as the xintercept of a straight line. There are different formulas available to find the equation of a straight line. The slopeintercept formula is one of these formulas which is used when we know the slope of the straight line, which is denoted by m, and the yintercept of the straight line, which is denoted by b or (0, b). Let us learn the slopeintercept formula with a few solved examples.
What is Slope Intercept Formula?
The slopeintercept formula is used to find the intercept cut by the straight line with the xaxis or the yaxis. For the slopeintercept formula, we have to know the slope of the lone and the intercept cut by the line with the yaxis. Let us consider a straight line of slope m and yintercept b. Using the slopeintercept formula, the equation of the line is:
y = mx + b
where
 (x, y) represents any point on the line.

Example 1: Find the equation of a straight line with slope 1/3 and whose yintercept is (0, 5). Solve it using the slopeintercept formula.
Solution:
To find: The equation of the given line.
It is given that,
the slope of the line is m = 1/3.
the yintercept of the line is (0, b) = (0, 5) ⇒ b = 5.
Using the slopeintercept formula, the equation of the given line is,
y = mx + b
y = 1/3 x  5
Answer: The equation of the given line is, y = 1/3 x  5.

Example 2: Find the equation of the horizontal line that intersects the yaxis at (0, 3). Solve it using the slopeintercept formula.
Solution:
To find: The equation of the given line.
It is given that the yintercept of the line is (0, b) = (0, 3) ⇒ b = 3.
Since the line is horizontal, its slope is m = 0.
Using the slopeintercept formula, the equation of the given line is,
y = mx + b
y = 0x + 3
y = 3
Answer: The equation of the given line is, y = 3.