QuestionAugust 25, 2025

Problem 5. Find the coordinates of the x and y intercepts. a) y=-3x+5 b) 2x-5y=7

Problem 5. Find the coordinates of the x and y intercepts. a) y=-3x+5 b) 2x-5y=7
Problem 5. Find the coordinates of the x and y intercepts. a) y=-3x+5 b) 2x-5y=7

Solution
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Answer

a) x-intercept: \left(\frac{5}{3}, 0\right), y-intercept: (0, 5); b) x-intercept: \left(\frac{7}{2}, 0\right), y-intercept: \left(0, -\frac{7}{5}\right) Explanation 1. Find x-intercept for (a) Set y = 0 in y = -3x + 5: 0 = -3x + 5 \Rightarrow x = \frac{5}{3}. 2. Find y-intercept for (a) Set x = 0 in y = -3x + 5: y = 5. 3. Find x-intercept for (b) Set y = 0 in 2x - 5y = 7: 2x = 7 \Rightarrow x = \frac{7}{2}. 4. Find y-intercept for (b) Set x = 0 in 2x - 5y = 7: -5y = 7 \Rightarrow y = -\frac{7}{5}.

Explanation

1. Find x-intercept for (a)<br /> Set $y = 0$ in $y = -3x + 5$: $0 = -3x + 5 \Rightarrow x = \frac{5}{3}$.<br /><br />2. Find y-intercept for (a)<br /> Set $x = 0$ in $y = -3x + 5$: $y = 5$.<br /><br />3. Find x-intercept for (b)<br /> Set $y = 0$ in $2x - 5y = 7$: $2x = 7 \Rightarrow x = \frac{7}{2}$.<br /><br />4. Find y-intercept for (b)<br /> Set $x = 0$ in $2x - 5y = 7$: $-5y = 7 \Rightarrow y = -\frac{7}{5}$.
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