Plot the intercepts to graph the equation calculator

Enter the values in the below calculator. Hit the Calculate button to get the slope intercept form of a line using y=mx+b equation.

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Slope intercept form calculator is an online tool that is used to find slope intercept form (equation of line) using two points, y-intercept, or one point and slope.

What is slope intercept form?

Slope intercept is a form of linear equation that can be used to find the equation of a straight line with y intercept and slope of line.

Slope intercept formula

The slope intercept equation can be represented as:

y = mx + b

Where,

x, y represents the x and y coordinates,

m is slope of line, and

b is y intercept.

The equation of slope intercept varies in USA and UK. In UK, variable c is used to represent y-intercept.

 y = mx + c

How to find the slope intercept form (equation of a straight line)?

To find equation of a straight line with slope and y-intercept, follow the example below.

Example:

Find the Straight line equation if y-intercept is 6 and slope is 4.

Solution:

Step 1:Identify the values.

b = 6

m = 4

Step 2:Write the slope form equation and place the values.

y = mx + b

y = 4x + 6

If you need to calculate the slope using two points, use slope calculator.

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This calculator will plot lines given in following forms:

1.Slope y-intercept form - this is a line of the form $y = mx + b$ where $m$ is the slope of the line and $b$ is the y-intercept.

2.Standard form - this is the line of the form $Ax + By = C$, where $A, B,$ and $C$ are real numbers and A and B are both not zero

The calculator will generate a step-by-step explanation how to graph lines.

Ideas for activities

Can you draw pictures with graphs?

Model real life situations by translating them into algebraic equations and by using graphs.

Find approximate solutions of simultaneous linear equations using graphs. For example

y = 5x - 7

3x + 2y = 1

Plot families of exponential and reciprocal graphs. For example

y = 2x, y = 3x, y = 4x ...

y = 1÷x, y = 2÷x, y = 3÷x, ...

Reduce a given linear equation in two variables to the standard form y = mx + c; calculate gradients and intercepts of the graphs and then plot them to check.

Solve problems involving direct and inverse proportion using graphical representations.

Identify and interpret roots, intercepts and turning points of quadratic functions graphically.

Find the equations of the translations and reflections of graphs of given functions.

Use graphs to solve optimisation problems.

Investigate the absolute value function. Plot families of graphs and describe their characteristics. For example

y = |x2 - 5|

Graph inequalities to solve linear programming problems. more...

Plot the graphs of functions and their inverses by interchanging the roles of x and y. Find the relationship between the graph of a function and its inverse. Which functions inverses are also functions?

Related activities

For Whole Class Straight Line Graphs 10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator. The short web address is: Transum.org/go/?to=straight	Related Graph Match Match the equations with the images of the corresponding graphs. Linear, quadratic and more. The short web address is: Transum.org/go/?to=graphmatch	Just For Fun Human Graphs Students should be encouraged to stand up and make the shapes of the graphs with their arms. The short web address is: Transum.org/go/?to=humangraphs	Suggested Plotting Graphs Complete a table of values then plot the corresponding points to create a linear, quadratic or reciprocal graph. The short web address is: Transum.org/go/?to=plotting
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