Best solutions to - "Find the x-and y-intercepts of the graph of..."

facas9

Answered question

2020-11-22

Find the x-and y-intercepts of the graph of the equation algebraically.

y = - \frac{1}{2} x + \frac{2}{3}

Answer & Explanation

broliY

Skilled2020-11-23Added 97 answers

Calculation:
Consider, the equation,

y = - \frac{1}{2} x + \frac{2}{3}

To determine x -intercept, substitute

y = 0

in the above equation,

0 = - \frac{1}{2} x + \frac{2}{3}

\frac{1}{2} x = \frac{2}{3}

x = \frac{2}{3} \times 2

= \frac{4}{3}

Therefore, the x -intercept is

(\frac{4}{3}, 0)

.
To determine y -intercept, substitute

x = 0

in the equation,

y = - \frac{1}{2} x + \frac{2}{3}

y = - \frac{1}{2} \times 0 + \frac{2}{3}

= \frac{2}{3}

Therefore, y -intercept is

(0, \frac{2}{3})

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