Heres a graph of a linear function Write the equation that d

Here\'s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Solution

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As per the line given it is clear that the line passes through the points (-4,-4) and (0,-2)

A	=	(-4,-4)
B	=	(0,-2)
x1=	-4	y1=	-4
x2=	0	y2=	-2
Now general equation of a line passing through points x1,y1 and x2,y2 is given by
(y2-y1)/(x2-x1)	=	(y-y1)/(x-x1)
0.5	=	(y+4)/(x+4)
0.5x + 2	=	y + 4
y	=	0.5x - 2
		Solution
Hence slope of line (m) is 0.5 and y intercept b is -2 (Comparing with slope intercept form of line y = mx + b)
Soution