The equation 5x+4y=1 is graphed in the xy-plane. Which of the following is a true statement about the graph? Choose 1 answer: (A) The graph's y-intercept is (1)/(5). (B) The graph's x-intercept is -(1)/(4). (C) The graph has a slope of -(5)/(4). (D) The graph has a slope of -(4)/(5).

Finding the y-intercept: To find the y-intercept, we set x to 0 and solve for y. 5(0) + 4y = 1 4y = 1 y = 1/4 The y-intercept is the point where the graph crosses the y-axis, which is at (0, y).Finding the x-intercept: To find the x-intercept, we set y to 0 and solve for x. 5x + 4(0) = 1 5x = 1 x = 1/5 The x-intercept is the point where the graph crosses the x-axis, which is at (x, 0).Finding the slope of the graph: To find the slope of the graph, we can rewrite the equation in slope-intercept form (y = mx + b), where m is the slope. 4y = -5x + 1 y = (-5/4)x + 1/4 The slope of the graph is the coefficient of x, which is -5/4.

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The equation $5x+4y=1$ 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 $y$ -intercept is $\frac{1}{5}$ . $\newline$ (B) The graph's $x$ -intercept is $-\frac{1}{4}$ . $\newline$ (C) The graph has a slope of $-\frac{5}{4}$ . $\newline$ (D) The graph has a slope of $-\frac{4}{5}$ .

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Q. The equation

5x+4y=1

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

y

-intercept is

\frac{1}{5}

\newline

(B) The graph's

x

-intercept is

-\frac{1}{4}

\newline

-\frac{5}{4}

\newline

(D) The graph has a slope of

-\frac{4}{5}

Finding the y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ .
$5(0) + 4y = 1$
$4y = 1$
$y = \frac{1}{4}$
The y-intercept is the point where the graph crosses the y-axis, which is at $(0, y)$ .
Finding the x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ .
$5x + 4(0) = 1$
$5x = 1$
$x = \frac{1}{5}$
The x-intercept is the point where the graph crosses the x-axis, which is at $(x, 0)$ .
Finding the slope of the graph: To find the slope of the graph, we can rewrite the equation in slope-intercept form $y = mx + b$ , where $m$ is the slope. $4y = -5x + 1$ $y = (-5/4)x + 1/4$ The slope of the graph is the coefficient of $x$ , which is $-5/4$ .