Problem

2. Find the value of $a$ such that the point $A(2,-7)$ lies on the line $3 x=a y-8$ (2 marks)

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The value of 'a' such that the point A(2,-7) lies on the line 3x = ay - 8 is \(\boxed{-2}\).

Steps

Step 1 ：Given the point A(2,-7) and the line equation 3x = ay - 8, we need to find the value of 'a' such that the point lies on the line.

Step 2 ：We substitute x = 2 and y = -7 into the equation, which gives us 3*2 = a*(-7) - 8.

Step 3 ：Solving this equation for 'a', we get a = \(-2\).

Step 4 ：Final Answer: The value of 'a' such that the point A(2,-7) lies on the line 3x = ay - 8 is \(\boxed{-2}\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More