Determine the intercepts of the line. Do not round your answers. 5x-9=-8y-3 x-intercept: (◻,◻) y-intercept: (◻,◻)

Finding x-intercept: To find the x-intercept, we set y to 0 and solve for x. 5x - 9 = -8(0) - 3 5x - 9 = -3 5x = -3 + 9 5x = 6 x = 6 / 5 The x-intercept is at (6/5, 0).Finding y-intercept: To find the y-intercept, we set x to 0 and solve for y. 5(0) - 9 = -8y - 3 -9 = -8y - 3 -8y = -9 + 3 -8y = -6 y = -6 / -8 y = 3 / 4 The y-intercept is at (0, 3/4).

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Determine the intercepts of the line.
Do not round your answers.

5x-9=-8y-3

x-intercept:
(◻,◻)

y-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $5x-9=-8y-3$ $\newline$ x-intercept: $\newline$ $(\square,\square)$ $\newline$ y-intercept: $\newline$ $(\square,\square)$

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Math Problems

Algebra 1

Standard form: find x- and y-intercepts

Full solution

Q. Determine the intercepts of the line.

\newline

Do not round your answers.

\newline

5x-9=-8y-3

\newline

x-intercept:

\newline

(\square,\square)

\newline

y-intercept:

\newline

(\square,\square)

Finding x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ .
$5x - 9 = -8(0) - 3$
$5x - 9 = -3$
$5x = -3 + 9$
$5x = 6$
$x = \frac{6}{5}$
The x-intercept is at $(\frac{6}{5}, 0)$ .
Finding y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $5(0) - 9 = -8y - 3$ $-9 = -8y - 3$ $-8y = -9 + 3$ $-8y = -6$ $y = \frac{-6}{-8}$ $y = \frac{3}{4}$ The y-intercept is at $(0, \frac{3}{4})$ .