# 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?

Jun 7, 2018

$y = 4 x - 7 \text{ is the equation}$

#### Explanation:

$\text{check the coordinates of each point on the given equation}$

$\text{by substituting in x-coordinate to obtain y}$

$\left(0 , - 7\right) \to y = 0 - 7 = - 7 \leftarrow \text{correct}$

$\left(1 , - 3\right) \to y = 4 - 7 = - 3 \leftarrow \text{ correct}$

$\left(2 , 1\right) \to y = 8 - 7 = 1 \leftarrow \text{correct}$

$\left(3 , 5\right) \to y = 12 - 7 = 5 \leftarrow \text{correct}$

$\left(4 , 9\right) \to y = 16 - 7 = 9 \leftarrow \text{correct}$

$\text{all points satisfy the equation } y = 4 x - 7$

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.