Linear functions are of the general form, f(x) = ax+b, where ‘a’ and ‘b’ are constants. The relationship between ‘x’ and ‘f(x)’ in a linear equation gives us a straight line.
Slope is the rate of change in ‘f(x)’ with respect to the change in ‘x’.
Given two co-ordinate points: (x1, y1) and (x2, y2)
Then slope, m = (y2 –y1) / (x2 –y1)
Y-intercept is the point where the graph touches the Y-axis.
So, when x = 0, y = b -> point = (0,b)
Find the slope of the points: (1,2) and (4,5)
Slope, m = (5-2) / (4-1)
m = 3/3 -> m= 1
Example: Graph and write the equation of the line in slope-intercept form given a point (3, 4) and slope 2.
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