<h2>Answer:</h2>
y = 2
<h2>Step-by-step explanation:</h2>To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3><u>Substitute the coordinates of the given points:</u>
<u>Simplify the equation to determine the slope:</u>
∴ 0 divided by ANY number is ALWAYS 0.
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>
<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.
Thus, the equation of the line is y = 2.