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These are examples that explain two methods of graphing linear equations.

Draw graph of the equation: y = ½ x + 2

y = ½ x + 2

First of all let us start with assuming any 2 values of x

Now find the values of y by substituting the values of x

If value of x = 1 the y = ½ (1) + 2 = 2.5 (x, y) = (1, 2.5)

If value of x = 2 then y= ½(2) + 2 = 3 (x, y) = (2, 3)

Now plot these points x and y in the graph

This method clearly shows the method of graphing linear equation by finding x and y values.

Graph equation y = ½ x + 2 using slope and y intercept.

y = ½ x + 2

From the given equation

Slope = ½ and y-intercept = 2

Y-intercept is the point where the line crosses (intersect) y axis

So the coordinate at that point is (0, 2)

Now use the slope to find out next point on graph

We know slope = change in y axis / change in x axis

Here slope = ½

So we have to move 2 units right in x- axis and 1 unit up in y – axis

Draw line through these points