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Graphing Linear Equations Calculator
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Linear equation is an algebraic equation, where each term is either a constant or the product of a constant and a single variable with power one. Graphing Linear Equations Calculator (linear function calculator) is a tool which makes calculations easy and fun. It is a linear equation grapher used to plot the graph for the given linear equation. Try our Graph Linear Equations Calculator and get your problems solved instantly.

Below is given a default linear equation, click "Submit". It finds the slope with the coordinates and then plot the graph.

Steps for Graphing Linear Equations Calculator

Step 1 :

If the equation is in standard form(Ax + By = C), then change it into slope-intercept form(y = mx + b).

Step 2 :

Make a point on the vertical axis(y-axis) at y = b. This is the y-intercept of the graph. Then choose different values for "x" other than zero and solve for y to get different coordinates.

Step 3 :

Mark all the coordinates on the graph and join it, which gives a straight line.

Examples on Graphing Linear Equations Calculator

1. Graph the equation: y = x + 3

Step 1 :

Given equation is in slope-intercept form(y = mx + b) => y = x + 3

Step 2 :

Slope(m) = 1 and y-intercept(b) = 3.

So, coordinate = ( 0, 3)

Step 3 :

At x = -3
=> y = x + 3
=> y = -3 + 3
=> y = 0
At x = 1
=> y = x + 3
=> y = 1 + 3
=> y = 4
At x = -2
=> y = x + 3
=> y = -2 + 3
=> y = 1

So, all the coordinates are: ( 0, 3), (-3, 0), (1, 4) and (-2, 1)

Graph is shown in step3.

2. Graph the equation: x + y = 4

Step 1 :

Given equation is in standard form(Ax + By = C) => x + y = 4
=> y = -1x + 4

Step 2 :

Slope(m) = -1 and y-intercept(b) = 4.

So, coordinate = ( 0, 4)

Step 3 :

At x = 4
=> y = -x + 4
=> y = -4 + 4
=> y = 0
At x = 1
=> y = -x + 4
=> y = -1 + 4
=> y = 3
At x = 2
=> y = -x + 4
=> y = -2 + 4
=> y = 2

So, all the coordinates are: ( 0, 4), (4, 0), (1, 3) and (2, 2)

Graph is shown in step3.

3. A hardware shop provides rental service for computers and laptops. The shopkeeper charges 100 dollars per month for renting a computer or laptop. Apart from this, It charges two dollars for each day extra service. Write an equation for the monthly charge based upon the number of days of service provided in a month. Also find slope, c-intercept and d-intercept of the function.

Step 1 :

Internet cafe charges for a computer/laptop = 100 dollars each month

Service charge for one day = 2 dollar

Step 2 :

If they provide service for d number of days in a month then linear equation will be

C(d) = 2d + 100

Step 3 :

Slope = $\frac{1 }{2 }$

C-intercept = 100

d-intercept = -50

Slope = $\frac{1 }{2 }$