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The equation 6y-3x=5 is graphed in the xy-plane. Which of the following is a true statement about the graph?
Choose 1 answer:
(A) The graph's x-intercept is (5)/(6) and its y-intercept is -(5)/(3).
(B) The graph's x-intercept is -(5)/(3) and its y-intercept is (5)/(6).
(C) The graph has a slope of 2 .
(D) The graph has a slope of -(1)/(2).

The equation $6y-3x=5$ is graphed in the $xy$ -plane. Which of the following is a true statement about the graph? $\newline$ Choose $1$ answer: $\newline$ (A) The graph's $x$ -intercept is $\frac{5}{6}$ and its $y$ -intercept is $-\frac{5}{3}$ . $\newline$ (B) The graph's $x$ -intercept is $-\frac{5}{3}$ and its $y$ -intercept is $\frac{5}{6}$ . $\newline$ (C) The graph has a slope of $2$ . $\newline$ (D) The graph has a slope of $-\frac{1}{2}$ .

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Function transformation rules

Full solution

Q. The equation

6y-3x=5

is graphed in the

xy

-plane. Which of the following is a true statement about the graph?

\newline

Choose

1

answer:

\newline

(A) The graph's

x

-intercept is

\frac{5}{6}

and its

y

-intercept is

-\frac{5}{3}

.

\newline

(B) The graph's

x

-intercept is

-\frac{5}{3}

and its

y

-intercept is

\frac{5}{6}

.

\newline

(C) The graph has a slope of

2

.

\newline

(D) The graph has a slope of

-\frac{1}{2}

.

Find x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ . $6(0) - 3x = 5$ $-3x = 5$ $x = -\frac{5}{3}$
Find y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $6y - 3(0) = 5$ $\newline$ $6y = 5$ $\newline$ $y = \frac{5}{6}$
Find slope: To find the slope of the graph, we can rewrite the equation in slope-intercept form $y = mx + b$ , where $m$ is the slope. $6y = 3x + 5$ $y = \frac{3}{6}x + \frac{5}{6}$ $y = \frac{1}{2}x + \frac{5}{6}$ The slope of the graph is $\frac{1}{2}$ .

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\newline

\newline

\text{}(A)g(x) = 9|x+2| - 4\text{]}

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\text{}(B)g(x) = 9|x-2| - 4\text{]}

\newline

\text{}(C)g(x)=-9|x-2| +4\text{]}

\newline

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