Determine the intercepts of the line. Do not round your answers. 7x-5=4y-6 x-intercept: (◻,◻) y-intercept: (◻,◻)

Finding x-intercept: To find the x-intercept, we set y to 0 and solve for x. 7x - 5 = 4(0) - 6 7x - 5 = -6 Add 5 to both sides to isolate the x-term. 7x = -1 Divide both sides by 7 to solve for x. x = -1/7 The x-intercept is at (-1/7, 0).Finding y-intercept: To find the y-intercept, we set x to 0 and solve for y. 7(0) - 5 = 4y - 6 -5 = 4y - 6 Add 6 to both sides to isolate the y-term. 1 = 4y Divide both sides by 4 to solve for y. y = 1/4 The y-intercept is at (0, 1/4).

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

7x-5=4y-6

x-intercept:
(◻,◻)

y-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $7x-5=4y-6$ $\newline$ 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

7x-5=4y-6

\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 $x$ .
$7x - 5 = 4(0) - 6$
$7x - 5 = -6$
Add $5$ to both sides to isolate the x-term.
$7x = -1$
Divide both sides by $7$ to solve for $x$ .
$x = -\frac{1}{7}$
The x-intercept is at $0$ $0$ .
Finding y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $7(0) - 5 = 4y - 6$ $\newline$ $-5 = 4y - 6$ $\newline$ Add $6$ to both sides to isolate the $y$ -term. $\newline$ $1 = 4y$ $\newline$ Divide both sides by $4$ to solve for $y$ . $\newline$ $y = \frac{1}{4}$ $\newline$ The y-intercept is at $(0, \frac{1}{4})$ .