Question

Find the equation of a line that contains the points (6,3) and (6,−2).

Answer 1

Answer:

The equation of the line is y = -5x + 33

Step-by-step explanation:

first you find the slope

slope=y2-y1

x2-x1

= -2 - 3

6 - 6

slope= -5

then you find the equation of the line

soln

y - 3 = -5

x - 6

= y - 3 = -5x + 30

y = -5x + 30 + 3

y = -5x + 33

Answer 2

Answer:

x  = 6

Step-by-step explanation:

First find the gradient,

$Gradient = \frac{y2-y1}{x2-x1} = \frac{-2-3}{6-6} =\frac{-5}{0} =0$

Since this line has no gradient, it means that it's a horizontal or vertical line. We cannot substitute in the values because the gradient is 0 so this line will only be x = 6