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.
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 - y1 = m (x - x1).
Here m = 7 and (x1, y1) = (2, 9).
⇒ y - 9 = 7 (x - 2)
⇒ y - 9 = 7x - 14
⇒ y = 7x - 5
Now, we plot it on the graph.
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