If (y=(2t-3)x+(t+4)) has (y)-intercept (10), what is the slope?
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Answer and explanation
Correct answer: 9
In the form y = mx + c, the y-intercept is the constant term c. Here, the y-intercept is t + 4. From t + 4 = 10, we get t = 6. Therefore, the slope is 2t - 3 = 2(6) - 3 = 9. Option 6 is the value of t, not the slope. Exam tip: set x = 0 to identify the y-intercept.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
In the form y = mx + c, the y-intercept is the constant term c. Here, the y-intercept is t + 4. From t + 4 = 10, we get t = 6. Therefore, the slope is 2t - 3 = 2(6) - 3 = 9. Option 6 is the value of t, not the slope. Exam tip: set x = 0 to identify the y-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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