Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.

A. They have the same slope.
B. They have the same x-intercept.
C. The two lines are perpendicular.
D. They have the same y-intercept.

I say c if it is wrong what is right answer?

Sir 2.0 you typed the QUESTION WRONG!! NOW I HAVE TO WASTE TIME TYPING THIS RESPONSE!!! that being said the equation SHOULD be y=3/5x-6 and the answer is C. The two lines are perpendicular.

The correct answer is A. They have the same slope.

To determine the slope of a line passing through two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates (-3, -11) and (6, 4), we can substitute the values into the formula:

slope = (4 - (-11)) / (6 - (-3))
slope = 15 / 9
slope = 5/3

Comparing this to the equation y = 35x - 6, we can see that the coefficient of x, which represents the slope, is 35.

Since the slope of the line passing through the two points and the slope of the line given by the equation are equal (both are 5/3), the correct answer is A. They have the same slope.

To compare the line passing through two points with a given equation of a line, we need to analyze their slopes and intercepts.

1. Finding the slope of the line passing through points (-3, -11) and (6, 4):
The formula to find the slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates:
m = (y2 - y1) / (x2 - x1)

By substituting the values from the given points, we get:
m = (4 - (-11)) / (6 - (-3))
m = 15 / 9
m = 5/3

2. Analyzing the given equation y = 35x - 6:
The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Comparing the slope of the line equation: y = 35x - 6 (which is 35) to the slope of the line passing through the points (-3, -11) and (6, 4) (which is 5/3), we can conclude that the answer is not A. They do not have the same slope.

Comparing the x-intercepts is not possible as the equation y = 35x - 6 does not provide direct information about x-intercept, therefore B is not applicable.

Comparing the y-intercepts, we can see the y-intercept of the line given by the equation y = 35x - 6 is -6. However, we do not have such information about the line passing through the points (-3, -11) and (6, 4). Hence, D is also not applicable.

Therefore, the correct answer is C. The two lines are perpendicular.

slope = 15/9 = 5/3

y-4 = 5/3 (x-6)
y = 5/3 x - 6

The lines are not perpendicular, because the slopes are not negative reciprocals.

The line through the points is perpendicular to

y = -3/5 x - 6

However, they do both have a y-intercept of -6.