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

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

Answer: 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

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