Answer:
y = 3x - 7
Explanation:
We can use the two-point form formula to find the equation of a line that passes through two given points (x1, y1) and (x2, y2):
y - y1 = (y2 - y1) / (x2 - x1) * (x - x1)
where (x1, y1) and (x2, y2) are the two points and (x, y) represents any point on the line.
Using the given points, we have:
x1 = 1, y1 = 10
x2 = -4, y2 = -5
Substituting these values into the formula, we get:
y - 10 = (-5 - 10) / (-4 - 1) * (x - 1)
Simplifying the equation, we have:
y - 10 = 3(x - 1)
Expanding and rearranging, we get:
y = 3x - 7
Therefore, the equation of the line that passes through (1, 10) and (-4, -5) is y = 3x - 7
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