We will learn how to find the slope and yintercept of a line.
Consider the following steps to find the slope and yintercept of a given line:
Step I: Convert the given equation of the line in the slopeintercept form y = mx + c.
Step II: Then, the coefficient of x is slope (m) and the constant term term with its proper sign is yintercept (c).
Solved examples on slope and yintercept of a line:
1. Find the slope and yintercept of the line 2x  3y  4 = 0.
Solution:
Given equation is 2x  3y  4 = 0
⟹ 3y = 2x + 4
⟹ y = \(\frac{2}{3}\)x  \(\frac{4}{3}\)
Therefore, the slope (m) of the given line = \(\frac{2}{3}\) and its yintercept (c) =  \(\frac{4}{3}\)
2. Find the slope and yintercept of the line 3x + 2y + 4 =
0
Solution:
First we need to express the given equation in the form y = mx + c.
Given equation is 3x + 2y + 4 = 0
⟹ 2y = 3x  4
⟹ y = \(\frac{3}{2}\)x  \(\frac{4}{2}\)
⟹ y = \(\frac{3}{2}\)x  2
Therefore, the slope (m) of the given line = \(\frac{3}{2}\) and its yintercept (c) =  2
3. Find the slope and yintercept of the line y = 4
Solution:
First we need to express the given equation in the form y = mx + c.
Given equation is y = 4
⟹ y = 0x + 4
Therefore, the slope (m) of the given line = 0 and its yintercept (c) = 4
4. Find the slope and yintercept of the line 3x  4y = 5
Solution:
First we need to express the given equation in the form y = mx + c.
Given equation is 3x  4y = 5
⟹ 4y = 3x + 5
⟹ y = \(\frac{3}{4}\)x + \(\frac{5}{4}\)
⟹ y = \(\frac{3}{4}\)x  \(\frac{5}{4}\)
Therefore, the slope (m) of the given line = \(\frac{3}{4}\) and its yintercept (c) =  \(\frac{5}{4}\)
● Equation of a Straight Line
From Slope and Yintercept of a Line to HOME
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.