Answer:
Explanation:
The equation of the line that passes through the points (3, 6) and (-1, -4) can be found using the point-slope formula.
First, find the slope of the line using the formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) = (3, 6) and (x2, y2) = (-1, -4).
slope = (-4 - 6)/(-1 - 3) = -10/-4 = 5/2
Now that we have the slope, we can use it in the point-slope formula:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is either one of the given points. Let's use (3, 6):
y - 6 = (5/2)(x - 3)
Simplifying this equation, we get:
y - 6 = (5/2)x - 15/2
y = (5/2)x - 3/2
Therefore, the equation of the line that passes through the points (3, 6) and (-1, -4) is y = (5/2)x - 3/2.