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

-4x+7=2y-3

y-intercept:
(◻,◻)

x-intercept:
(◻,◻)

Determine the intercepts of the line. $\newline$ Do not round your answers. $\newline$ $-4x+7=2y-3$ $\newline$ y-intercept: $\newline$ $(\square,\square)$ $\newline$ x-intercept: $\newline$ $(\square,\square)$

View step-by-step help

View step-by-step help

Standard form: find x- and y-intercepts

Full solution

Q. Determine the intercepts of the line.

\newline

Do not round your answers.

\newline

-4x+7=2y-3

\newline

y-intercept:

\newline

(\square,\square)

\newline

x-intercept:

\newline

(\square,\square)

Find y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $-4(0) + 7 = 2y - 3$ $\newline$ $7 = 2y - 3$ $\newline$ Add $3$ to both sides to isolate the term with $y$ . $\newline$ $7 + 3 = 2y$ $\newline$ $10 = 2y$ $\newline$ Divide both sides by $2$ to solve for $y$ . $\newline$ $y = \frac{10}{2}$ $\newline$ $y = 5$ $\newline$ The y-intercept is at $(0, 5)$ .
Solve for y: To find the x-intercept, we set y to $0$ and solve for x. $\newline$ $-4x + 7 = 2(0) - 3$ $\newline$ $-4x + 7 = -3$ $\newline$ Subtract $7$ from both sides to isolate the term with x. $\newline$ $-4x = -3 - 7$ $\newline$ $-4x = -10$ $\newline$ Divide both sides by $-4$ to solve for x. $\newline$ $x = \frac{-10}{-4}$ $\newline$ $x = \frac{5}{2}$ $\newline$ The x-intercept is at $(\frac{5}{2}, 0)$ .

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\newline

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\newline

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\newline

\newline

\text{(A)horizontal line}

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Posted 3 months ago

Question

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\newline

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\newline

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\newline

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Question

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\newline

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\newline

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