In 10y − 9x = 60, what are the value of y at x = 0 and the slope?
Answer and explanation
Correct answer: y = 6, slope 9/10
First isolate y to obtain the slope-intercept form. From 10y − 9x = 60, add 9x to both sides: 10y = 9x + 60. Dividing by 10 gives y = (9/10)x + 6. Comparing this with y = mx + b, the slope is m = 9/10 and the y-intercept is b = 6. Since x = 0 at the y-axis, substituting x = 0 gives y = 6. Therefore option A is correct. The negative answer in option B results from an incorrect sign change, while options C and D confuse original coefficients with the slope or intercept.
Frequently asked questions
What is the correct answer to this question?
y = 6, slope 9/10
Why is this the correct answer?
First isolate y to obtain the slope-intercept form. From 10y − 9x = 60, add 9x to both sides: 10y = 9x + 60. Dividing by 10 gives y = (9/10)x + 6. Comparing this with y = mx + b, the slope is m = 9/10 and the y-intercept is b = 6. Since x = 0 at the y-axis, substituting x = 0 gives y = 6. Therefore option A is correct. The negative answer in option B results from an incorrect sign change, while options C and D confuse original coefficients with the slope or 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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