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$Determine the x- and y-intercepts of the graph of the follwoing line: y=-(1)/(10)x+(4)/(7) The x-intercept is: The y-intercept is: (provide your answers as ordered pairs) (use the symbol "/" to indicate the fraction bar)$

Determine the $x-$ and $y$ -intercepts of the graph of the follwoing line: $\newline$ $y=-\frac{1}{10} x+\frac{4}{7}$ $\newline$ The $x$ -intercept is: $\newline$ The $y$ -intercept is: $\newline$ (provide your answers as ordered pairs) $\newline$ (use the symbol

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Precalculus

Simplify radical expressions with variables

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Q. Determine the

x-

and

y

-intercepts of the graph of the follwoing line:

\newline

y=-\frac{1}{10} x+\frac{4}{7}

\newline

The

x

-intercept is:

\newline

The

y

-intercept is:

\newline

(provide your answers as ordered pairs)

\newline

(use the symbol

Find y-intercept: To find the y-intercept, set $x = 0$ and solve for $y$ . $\newline$ $y = -\left(\frac{1}{10}\right)(0) + \left(\frac{4}{7}\right)$ $\newline$ $y = 0 + \left(\frac{4}{7}\right)$ $\newline$ $y = \left(\frac{4}{7}\right)$ $\newline$ The y-intercept is at $(0, \frac{4}{7})$ .
Find x-intercept: To find the x-intercept, set $y = 0$ and solve for $x$ . $\newline$ $0 = -\left(\frac{1}{10}\right)x + \left(\frac{4}{7}\right)$ $\newline$ Multiply both sides by $10$ to get rid of the fraction. $\newline$ $0 = -x + \left(\frac{40}{7}\right)$ $\newline$ Now, add $x$ to both sides. $\newline$ $x = \left(\frac{40}{7}\right)$ $\newline$ The x-intercept is at $(\frac{40}{7}, 0)$ .