Question

Form equations for the vertical and horizontal lines passing through the point (8, −7).

Answer 1

Hint:As the question just has one point in question, we have to go back to basics and recall what horizontal and vertical lines are in coordinate geometry. A horizontal line is one within which all the y-values for every point are the same. A vertical line is one where all the x-values for lines are identical.

Complete step by step solution:
In case of a vertical line, the value of x will be 8, and will never change. This will be true for any value of y. Therefore, the equation for a vertical line passing through this point will be
$x = 8$
Similarly, in case of a vertical line the value of y here will be −7, will never change. This will be true for any value of x. Therefore, the equation for a horizontal line passing through this pint will be
 $y = - 7$

Note: Linear equations are functions that graph to form a straight line. They 're typically within the form\[y{\text{ }} = {\text{ }}mx{\text{ }} + {\text{ }}b\], where m is that the slope and b is that the y-intercept. Slope is that the rate of change or the change in y divided by the change in x. The y- intercept is where the road crosses the y-axis.