Question

question 3 (1 point) (02.04 mc) choose the equation that represents a line that passes through points (-6,4) and (2,0) a x + 2y = 2 b 2x - y = -16 c x + 2y = -8 d 2x + y = 4

Explanation:

Step1: Recall the point - substitution method

We will substitute the coordinates of the two given points \((-6,4)\) and \((2,0)\) into each of the equations to check which one holds true.

Step2: Substitute \((-6,4)\) into option a: \(x + 2y=2\)

Substitute \(x=-6\) and \(y = 4\) into \(x + 2y\): \(-6+2\times4=-6 + 8=2\).
Now substitute \((2,0)\) into \(x + 2y\): \(2+2\times0=2\).

Step3: Check other options for confirmation

For option b: \(2x - y=-16\). Substitute \(x = 2\) and \(y=0\), we get \(2\times2-0 = 4
eq-16\).
For option c: \(x + 2y=-8\). Substitute \(x = 2\) and \(y = 0\), we get \(2+2\times0=2
eq - 8\).
For option d: \(2x + y=4\). Substitute \(x=-6\) and \(y = 4\), we get \(2\times(-6)+4=-12 + 4=-8
eq4\).

Answer:

A. \(x + 2y=2\)