Question

A linear graph contains the points of (0, -7), (1, -3), (2, 1), (3, 5), (4, 9). Is the function of the graph y = 4x - 7?

Answer 1

`y=4x-7" is the equation"`

Explanation:

`"check the coordinates of each point on the given equation"`

`"by substituting in x-coordinate to obtain y"`

`(0,-7)toy=0-7=-7larr"correct"`

`(1,-3)toy=4-7=-3larr" correct"`

`(2,1)toy=8-7=1larr"correct"`

`(3,5)toy=12-7=5larr"correct"`

`(4,9)toy=16-7=9larr"correct"`

`"all points satisfy the equation "y=4x-7`

Answer 2

Seeing the solution graphically:

Explanation:

Expanding on this answer, here it is graphically:

graph{(y-4x+7)((x-0)^2+(y+7)^2-.1)((x-1)^2+(y+3)^2-.1)((x-2)^2+(y-1)^2-.1)((x-3)^2+(y-5)^2-.1)((x-4)^2+(y-9)^2-.1)=0[-10,10,-5,5]}

scroll around on the graph to see all the points listed on the line.