Tell whether the pair of lines are parallel, perpendicular, or neither.
y = 3/4x + 7 and 4x - 3y = 9
(1 point)
The lines are
neither.
A. Find the equation of the line of best fit for the given table. (Round to the nearest tenths place.)
B. Use the equation to estimate the stopping distance at 90 mi/h.
Captionless Image
(2 points)
A. y=
B.
Without the information from the given table or the image, it is not possible to determine the equation of the line of best fit or estimate the stopping distance at 90 mph.
To determine whether the pair of lines are parallel, perpendicular, or neither, we can examine their slopes.
The given lines are:
Line 1: y = (3/4)x + 7
Line 2: 4x - 3y = 9
To do this, we need to rewrite the second equation in slope-intercept form (y = mx + b), where m represents the slope:
4x - 3y = 9
First, let's isolate the y term:
-3y = -4x + 9
Now, divide both sides by -3 to solve for y:
y = (4/3)x - 3
By comparing the two equations, we can see that the slope of Line 1 is 3/4, whereas the slope of Line 2 is 4/3.
Since the slopes of the two lines are not equal and their product is not -1 (which is required for perpendicular lines), we can conclude that the lines are neither parallel nor perpendicular.