Determine the intercepts of the line. Do not round your answers. y=5x-13 y-intercept: (◻,◻) x-intercept: (◻,◻)

Finding the y-intercept: To find the y-intercept, we set x to 0 and solve for y. y = 5(0) - 13 y = -13 The y-intercept is the point where the line crosses the y-axis, which occurs when x=0. Therefore, the y-intercept is at (0, -13).Finding the x-intercept: To find the x-intercept, we set y to 0 and solve for x. 0 = 5x - 13 5x = 13 x = 13 / 5 x = 2.6 The x-intercept is the point where the line crosses the x-axis, which occurs when y=0. Therefore, the x-intercept is at (2.6, 0).

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

y=5x-13

y-intercept:
(◻,◻)

x-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $y=5x-13$ $\newline$ y-intercept: $\newline$ $(\square,\square)$ $\newline$ x-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

y=5x-13

\newline

y-intercept:

\newline

(\square,\square)

\newline

x-intercept:

\newline

(\square,\square)

Finding the y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $y = 5(0) - 13$ $\newline$ $y = -13$ $\newline$ The y-intercept is the point where the line crosses the y-axis, which occurs when $x=0$ . Therefore, the y-intercept is at $(0, -13)$ .
Finding the x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ .
$0 = 5x - 13$
$5x = 13$
$x = \frac{13}{5}$
$x = 2.6$
The x-intercept is the point where the line crosses the x-axis, which occurs when $y=0$ . Therefore, the x-intercept is at $(2.6, 0)$ .