Determine the intercepts of the line. Do not round your answers. y=4x+7 x-intercept: (◻,◻) y-intercept: (◻,◻)

Finding the x-intercept: To find the x-intercept, we set y to 0 and solve for x. y = 4x + 7 0 = 4x + 7 Subtract 7 from both sides to isolate the term with x. 0 - 7 = 4x + 7 - 7 -7 = 4x Now, divide both sides by 4 to solve for x. -7 / 4 = 4x / 4 -7/4 = x The x-intercept is at (-7/4, 0).Solving for x: To find the y-intercept, we set x to 0 and solve for y. y = 4x + 7 y = 4(0) + 7 y = 0 + 7 y = 7 The y-intercept is at (0, 7).

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

y=4x+7

x-intercept:
(◻,◻)

y-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $y=4x+7$ $\newline$ 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=4x+7

\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 $x$ .
$y = 4x + 7$
$0 = 4x + 7$
Subtract $7$ from both sides to isolate the term with $x$ .
$0 - 7 = 4x + 7 - 7$
$-7 = 4x$
Now, divide both sides by $4$ to solve for $x$ .
$0$ $1$
$0$ $2$
The x-intercept is at $0$ $3$ .
Solving for x: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $y = 4x + 7$ $\newline$ $y = 4(0) + 7$ $\newline$ $y = 0 + 7$ $\newline$ $y = 7$ $\newline$ The y-intercept is at $(0, 7)$ .