Question

Find the missing coefficient in the equation of the line shown. Write the completed equation. Ax-2y=-6

Answer 1

The missing coefficient
`\(a\)` is option D. 4

How did we get the value?

To find the missing coefficient (a) in the equation
`\(ax - 2y = -6\)`, we can substitute the given point
`\((-4, -5)\)` into the equation and solve for
`\(a\).`

Replace
`\(x\)` with
`\(-4\)` and
`\(y\)` with
`\(-5\)`:

`\[ a(-4) - 2(-5) = -6 \]`

Simplify the expression:

`\[ -4a + 10 = -6 \]`

Subtract 10 from both sides:

`\[ -4a = -16 \]`

Divide by -4 to solve for
`\(a\)`:

`\[ a = (-16)/(-4) \\= 4 \]`

So, the missing coefficient
`\(a\)` is 4. Therefore, the correct answer is (d) 4.

Complete question:

Find the missing coefficient in the equation of the line shown: ax - 2y = -6, given the point (-4, -5).

a) 6

b) -6

c) -4

d) 4