Question

What is the equation of the line that passes through the points shown in the table

Answer 1

Answer:

y = x + 7

Explanations:

The equation of a line is given as:

`y-y_1=m(x-x_1)`
`\begin{gathered} m\text{ = }(y_2-y_1)/(x_2-x_1) \\ m\text{ = }(9-3)/(2-(-4)) \\ m\text{ = }(6)/(6) \\ m\text{ = 1} \end{gathered}`

Substitute x₁ = -4, y₁ = 3, and m = 1 into the equation above:

`\begin{gathered} y\text{ }-\text{ 3 = 1(x - (-4))} \\ y\text{ - 3 = x + 4} \\ y\text{ = x + 4 + 3} \\ y\text{ = x + 7} \end{gathered}`