What is the equation for a line parallel to the line shown in the graph, that passes through the point (-3, 9)?

Question 11 options:

A. y =

B. y =

C. y =

D. y =

option C is the correct answer.

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

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

Slope = (8 - 5)/(4 - 0) = 3/4

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3, 9) is 3/4

To determine the y intercept, we would substitute m = 3/4, x = - 3 and y = 9 into y = mx + c. It becomes

9 = 3/4 × - 3 + c

9 = - 9/4 + c

c = 9 + 9/4

c = 45/4

The equation becomes

y = 3x/4 + 45/4

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: