Question

Find the missing coefficient in the equation of the line shown: ax - 2y = -10, given the point (-4, -5).

a) 6
b) -6
c) -4
d) 4

Answer 1

After substituting the given coordinates (-4, -5) into the equation and solving for a, it appears there is a discrepancy because the result, a = 5, does not match the provided answer choices.

Step-by-step explanation:

To find the missing coefficient a in the equation ax - 2y = -10, we can substitute the given point (-4, -5) into the equation and solve for a.

Substitute x = -4 and y = -5:

a(-4) - 2(-5) = -10

Multiply -4 by a and -2 by -5:

-4a + 10 = -10

Subtract 10 from both sides:

-4a = -20

Divide both sides by -4:

a = 5

This result does not match any of the options provided (a) 6 (b) -6 (c) -4 (d) 4. There must be a mistake in either the question or the options.