A linear equation is similar to a linear graph in that key data from the equation is clearly visible on the graph.
A linear equation of y = 4x + 5 shows us that the y-intercept (or "b") is +5. This is where our line crosses the y-axis, and provides us with the information that the point (0, 5) exists on our line, making it the easiest point to draw on our graph every time!
The equation also shows us that there is a slope (or "m") of 4. This means we must do the long-form of slope, which is "rise over run" or "change in y, divided by change in x". A slope of 4 is written as 4/1, or "four over one", showing we 'rise' 4 units on our graph, and 'run' 1 unit...clearly showing a slope of 4.
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The graph will be a line.
When it is a linear equation.
You can graph a linear equation slope intercept by solving the equation and plugging in the numbers : y=mx+b
A linear function is a function whose graph is a straight line.
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.