Determine the intercepts of the line. Do not round your answers. y=-2x-21 x-intercept: (◻,◻) y-intercept: (◻,◻)

Finding the x-intercept: To find the x-intercept, we set y to 0 and solve for x. y = -2x - 21 0 = -2x - 21 Add 21 to both sides to isolate the term with x. 0 + 21 = -2x - 21 + 21 21 = -2x Now, divide both sides by -2 to solve for x. 21 / -2 = x x = -10.5 The x-intercept is at the point (-10.5, 0).Solving for x: To find the y-intercept, we set x to 0 and solve for y. y = -2x - 21 y = -2(0) - 21 y = -21 The y-intercept is at the point (0, -21).

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

y=-2x-21

x-intercept:
(◻,◻)

y-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $y=-2x-21$ $\newline$ 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

y=-2x-21

\newline

x-intercept:

\newline

(\square,\square)

\newline

y-intercept:

\newline

(\square,\square)

Finding the x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ .
$y = -2x - 21$
$0 = -2x - 21$
Add $21$ to both sides to isolate the term with $x$ .
$0 + 21 = -2x - 21 + 21$
$21 = -2x$
Now, divide both sides by $-2$ to solve for $x$ .
$0$ $1$
$0$ $2$
The x-intercept is at the point $0$ $3$ .
Solving for x: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $y = -2x - 21$ $\newline$ $y = -2(0) - 21$ $\newline$ $y = -21$ $\newline$ The y-intercept is at the point $(0, -21)$ .