Question

Question 3

Identify the equation of a line that passes through (1, 10) and (-4,-5).
O A)x1= 3(y - 10)
O B) y 1 = 3(x - 10)
OC) y-10=(x - 1)
O D) y 10 = 3(x - 1)

Answer 1

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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