Graph the line with slope m = 7 passing through the point (2, 9).

Straight lines can be represented in the cartesian plane in the form of linear equations of a certain value of the slope. These are obtained by point-slope, two-point forms, and many other techniques depending on the given information.

Answer: The equation of the line with slope m = 7 and point (2, 9) is y = 7x - 5.

Let's understand the solution in detail.

Explanation:

Before plotting on the graph, we need to find the equation of the line.

We use the point-slope form to find the equation of the line: y - \((y)_{1}\) = m (x - \((x)_{1}\)).

Here m = 7 and (\((x)_{1}\), \((y)_{1}\)) = (2, 9).

⇒ y - 9 = 7 (x - 2)

⇒ y - 9 = 7x - 14

⇒ y = 7x - 5

Now, we plot it on the graph.

Check out the online slope calculator.

Hence, the equation of the line with slope m = 7 and point (2, 9) is y = 7x - 5.