Question

Select the correct answer. A linear function on a coordinate plane passes through (minus 3, 3), (0, 2), and (3, 1) In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? A linear function on a coordinate plane passes through (minus 1, 3), (0, 0), and (1, minus 3) W. The graph shows a linear function passes through (0, 4), (1.2, 0), and (3, minus 5) X. The graph shows a linear function passes through (0, 4), (minus 1.2, 0), and (minus 3, minus 5) Y. A linear function on a coordinate plane passes through (1, 3), (0, 0), and (minus 1, minus 3) Z. A. W B. X C. Z D. Y

Answer 1

The graph which best represents the new function is: Y. a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

How to determine the graph of the new function?

First of all, we would determine the slope of the linear function as follows:

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{2\;-\;3}{0\;-\;(-3)}$

Slope, m = -⅓.

Multiplying by -9, the new slope is:

Slope = -⅓ × -9

Slope = 3.

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 3 = -⅓(x - (-3))

y - 3 = -⅓x - 1

y = -⅓x - 1 + 3

y = -⅓x + 2

Increasing the y-value by 2, we have:

y + 2= -⅓x + 2

y = -⅓x + 2 - 2

y = -⅓x.

Therefore, we would have a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

Read more on slope here: brainly.com/question/17601248

#SPJ1