If 2y = (a - 4)x + 16 has slope 3, what will a be?
Answer and explanation
Correct answer: 10
First rewrite the equation in slope-intercept form by dividing every term by 2: y = ((a - 4)/2)x + 8. Comparing this with y = mx + c shows that the slope is m = (a - 4)/2. The question states that the slope is 3, so (a - 4)/2 = 3. Multiplying by 2 gives a - 4 = 6, and adding 4 gives a = 10. Therefore option B is correct. A common mistake is to treat a - 4 itself as the slope before dividing the entire equation by 2.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
First rewrite the equation in slope-intercept form by dividing every term by 2: y = ((a - 4)/2)x + 8. Comparing this with y = mx + c shows that the slope is m = (a - 4)/2. The question states that the slope is 3, so (a - 4)/2 = 3. Multiplying by 2 gives a - 4 = 6, and adding 4 gives a = 10. Therefore option B is correct. A common mistake is to treat a - 4 itself as the slope before dividing the entire equation by 2.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Linear Equations in Two Variables. Topic: Slope-intercept form.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
