Graph the line with y-intercept ?5 and slope ?2.

Expert Solution

The graph of the line with intercept ?5 and slope ?2 can be drawn by joinoning the two points on it. One of the two points can be taken as the intercept itself i.e. (0, -5). The equation of the line is:

Since the slope of the line is -2, therefore, the next point can be found by moving +1 unit along x-direction with - 2 units along y- direction getting new point as (1, -7) (or by moving -1 unit along x-direction with +2 units along y-direction getting new point as (-1, 3)). These two points define the line ubniquely.

A table of few points on the line is shown below:

Slope = - 2	x-coordinate	y-coordinate	Point (x, y)
1.	x = 0-2= -2	y = -5 -2(-2) = -1	(-2, -1)
2.	x = 0-1= -1	y = -5 -1(-2) = -3	(-1, -3)
3.	x = 0	y = - 5	(0, -5) (intercept point)
4.	x = 0+1= 1	y = -5 + 1(-2) = -7	(1, -7)
5.	x = 0+2= 2	y = -5 +2(-2) = -9	(2, -9)

Therefore, the graph of the line is:

milcah answered 2 years ago

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