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The graph of
(x)/( 2.6)-(y)/( 7.8)=1 in the
xy-plane is a line. Which of the following is true about this line?
Choose 1 answer:
(A) The graph's
x-intercept is 2.6 and its
y-intercept is 7.8 .
B The graph's
x-intercept is 2.6 and its
y-intercept is -7.8 .
(C) The graph has a slope of 2.6 .
(D) The graph has a slope of 7.8 .

The graph of $\frac{x}{2.6}-\frac{y}{7.8}=1$ in the $x y$ -plane is a line. Which of the following is true about this line? $\newline$ Choose $1$ answer: $\newline$ (A) The graph's $x$ -intercept is $2$ . $6$ and its $y$ -intercept is $7$ . $8$ . $\newline$ B The graph's $x$ -intercept is $2$ . $6$ and its $y$ -intercept is $-7$ . $8$ . $\newline$ (C) The graph has a slope of $2$ . $6$ . $\newline$ (D) The graph has a slope of $7$ . $8$ .

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Find Coordinate on Unit Circle

Full solution

Q. The graph of

\frac{x}{2.6}-\frac{y}{7.8}=1

in the

x y

-plane is a line. Which of the following is true about this line?

\newline

Choose

1

answer:

\newline

(A) The graph's

x

-intercept is

2

.

6

and its

y

-intercept is

7

.

8

.

\newline

B The graph's

x

-intercept is

2

.

6

and its

y

-intercept is

-7

.

8

.

\newline

(C) The graph has a slope of

2

.

6

.

\newline

(D) The graph has a slope of

7

.

8

.

Find x-intercept: To find the x-intercept, set $y$ to $0$ and solve for $x$ . Substitute $y = 0$ into the equation $\frac{x}{2.6} - \frac{y}{7.8} = 1$ . $\frac{x}{2.6} - \frac{0}{7.8} = 1$ $\frac{x}{2.6} = 1$ Multiply both sides by $2.6$ to solve for $x$ . $x = 2.6 \times 1$ $0$ $0$
Find y-intercept: To find the y-intercept, set $x$ to $0$ and solve for $y$ . Substitute $x = 0$ into the equation $\frac{x}{2.6} - \frac{y}{7.8} = 1$ . $\frac{0}{2.6} - \frac{y}{7.8} = 1$ $-\frac{y}{7.8} = 1$ Multiply both sides by $-7.8$ to solve for $y$ . $y = -7.8 \times 1$ $0$ $0$
Find slope of line: To find the slope of the line, rewrite the equation in slope-intercept form $y = mx + b$ . First, add $\frac{y}{7.8}$ to both sides of the equation. $\frac{x}{2.6} = \frac{y}{7.8} + 1$ Next, multiply both sides by $7.8$ to get rid of the fraction. $7.8 \times \frac{x}{2.6} = y + 7.8 \times 1$ Simplify the equation. $\frac{7.8}{2.6} \times x = y + 7.8$ $3 \times x = y + 7.8$ The slope of the line is the coefficient of $x$ , which is $3$ .

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