Final answer:
To find the equation of line t parallel to line s, we use the point-slope form of a linear equation by substituting the slope and a point on line t into the equation. The equation of line t is y = (-1/2)x - 9.
Step-by-step explanation:
To find the equation of line t, we need to determine its slope, as parallel lines have the same slope. The slope of line s is -1/2, so the slope of line t is also -1/2.
We also have the point (-10, -4) on line t.
Using the point-slope form of a linear equation, we substitute the slope and the point into the equation y - y1 = m(x - x1) to find the equation of line t.
Plugging in the values, we get y - (-4) = (-1/2)(x - (-10)).
Simplifying the equation gives us y + 4 = (-1/2)(x + 10), which can be rearranged to y = (-1/2)x - 9 to give the equation of line t.