Write the equation of the line passing through the points
left (-5, 9) and (-5,1)
in slope format
y=mx+b
find the slope , that will be your m
slope = m = (9-1)/0
ahhh, so we have a line with undefined slope, that is, a vertical line.
Horizontal and vertical lines are the easiest ones for finding equations.
for a horizontal, x = whatever the x of the point is
for a vertical , y = whatever the y of the point is,
so. ......
tysm
Did you notice that the equation cannot be written in the form y = mx + b ?
To find the equation of a line passing through two points, we need to determine the slope (m) of the line and the y-intercept (b). In this case, the given points are (-5, 9) and (-5, 1).
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values of the first point (-5, 9) as (x1, y1) and the second point (-5, 1) as (x2, y2) into the formula, we get:
m = (1 - 9) / (-5 - (-5))
m = -8 / 0
Since the denominator is 0, the slope is undefined.
Now, let's find the y-intercept (b) by choosing one of the points (-5, 9) and substituting its coordinates into the equation y = mx + b.
Using the point (-5, 9):
9 = undefined * (-5) + b
Since the slope is undefined, the equation becomes:
9 = b
Therefore, the equation of the line passing through the given points is:
y = undefined * x + 9
Note: An undefined slope typically indicates that the line is vertical. In this case, the line is vertical and passes through the x-coordinate -5.