What is the slope of the line that contains these points? X 5 6 7 8 Y -3 -1 1 3
1 answer:
The slope of the line is 2.
<u>Step-by-step explanation:</u>
The given points are (5,-3) , (6,-1) , (7,1) , (8,3).
To find the slope of the line that contain these points is calculated by the slope formula.
Slope =
Take any two points from the given set of points.
Let,
(x1,y1) = (5,-3)
(x2,y2) = (6,-1)
Slope = ⇒ 2
Therefore, the slope of the line is 2.
Similarly, the slope of the line can be known by using any two points on the line in the slope formula.
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Step-by-step explanation:
The given equations are :
y=-x+2 ....(1)
y = -4x +7 ....(2)
From equation (1) and (2)
-x+2 = -4x +7
Taking like terms together
-x+4x=7-2
3x = 5
x = 1.667
Put the value of x in equation (1)
y=-(1.667)+2
y = 0.333
The solution of the equations are (1.667,0.333). The attached figure shows the graph for the equations.
