could someone please help me with this question. I have no clue where to start...

the line: y = 0.15x + 0.79 represents an estimate of the average cost of gasoline for each year.

the line: 0.11x - y = -0.85 estimates the price of gasoline in January each year.

a) do you expect the lines to be intersecting, paralle, or perpendicular? Explain

b) use the equations of the lines to determine if they are parallel. what did you find?

Parallel lines have the same slope, these do not. Perpendicular lines have slopes that are the negative reciprocals, these do not.

a) To determine if the lines are intersecting, parallel, or perpendicular, we need to examine the slopes of the lines. In the first line, y = 0.15x + 0.79, the coefficient of x (0.15) represents the slope of the line. In the second line, 0.11x - y = -0.85, we need to rewrite it in the form y = mx + b, where m is the slope.

Let's rewrite the second equation:
0.11x - y = -0.85
Rearranging the terms, we have:
-y = -0.11x - 0.85
Now divide by -1 to isolate y:
y = 0.11x + 0.85

Now we can compare the slopes of the two lines.

In the first line, the slope is 0.15, and in the second line, the slope is 0.11.

b) To determine if the lines are parallel, we need to compare their slopes. If the slopes are equal, the lines are parallel.

From the previous step, we found that the slope of the first line is 0.15 and the slope of the second line is 0.11. Since the slopes are different, the lines are not parallel.

Therefore, the lines are neither intersecting nor parallel. They are simply two different lines with different slopes.