Learn how to draw the graph of y = mx + c Using Slope and y-intercept from this page. The formula to draw the graph using the slope and y-intercept is y = mx + c where m is slope and c is the y-intercept. Now in this article, we are going to draw the Coordinate Geometry Graph using slope and y-intercept. Let us see the steps for graphing an equation using slope & y-intercept with example problems.
How to Draw y=mx+c Graph using Slope, y-intercept?
Follow the steps to draw the graph of the equation y = mx + c using slope and y-intercept.
- First, find the y-intercept c of the equation of the line.
- Now plot the y-intercept where the y-axis cuts the point at (0,c ).
- Next find the slope of the equation, y = mx + c.
- Now plot the points on the graph make sure you go up to the right (y-axis) and down to the right if it is negative (y’-axis).
- Join the points with a line.
Do Refer:
Plotting a Straight Line y = mx + c Examples
The following graphs show the equation of the line y = mx + c, where the line cuts the y-axis at the point (0, c) which is the distance from the origin to point c.
Example 1.
Find the equation of a line in the form y = mx + c, having a slope of 2 units and an intercept of 4 units?
Solution:
Given that the slope of the line is m = 2
and the y-intercept of the line c = 4.
The slope-intercept form of the equation of a line is y = mx + c is
y = 2x + 4
Therefore the equation of the line is y = 2x + 4.
Example 2.
Find the equation of a line in the form of y = mx + c and having a slope of 10 units and an intercept of – 6 units?
Solution:
Given that the slope of the line is m = 10
and the y-intercept of the line c = -6.
The slope-intercept form of the equation of a line is y = mx + c is
y = 10x – 6.
Therefore the equation of the line is y = 10x – 6.
Example 3.
Find the equation of the line using the slope equal to 5 and y-intercept equal to -1/3.
Solution:
Given that the slope of the line is m = 5
and the y-intercept of the line c = -1/3.
The slope-intercept form of the equation of a line is y = mx + c is
y = 5x – 1/3
Therefore the equation of the line is y = 5x – 1/3
Example 4.
Find the equation of the line using the slope equal to 3/2 and y-intercept equal to 4/5.
Solution:
Given that the slope of the line is m = 3/2
and the y-intercept of the line c = 4/5.
The slope-intercept form of the equation of a line is y = mx + c is
y = 3/2x + 4/5
Therefore the equation of the line is y = 3/2x + 4/5.
Example 5.
Find the equation of the line using the slope equal to 2/7 and y-intercept equal to 1.
Solution:
Given that the slope of the line is m = 2/7
and the y-intercept of the line c = 1.
The slope-intercept form of the equation of a line is y = mx + c is
y = 2/7x – 1.
Therefore the equation of the line is y = 2/7x – 1.
FAQs on Graph of y = mx + c Using Slope and y-intercept
1. What is the formula for slope and y-intercept?
The formula for slope and y-intercept is y = mx + c where m is slope and c is the y-intercept.
2. How do you find the y-intercept?
The y-intercept is the point at which the graph crosses the y-axis where the x-coordinate is zero. Make x-coordinate as zero and solve y to find the y-intercept of the equation.
3. How do you find the point-slope form given the slope and y-intercept?
The slope-intercept formula is y = mx + c is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, c).