Question

What is the equation of the line that passes through the points (1,-2) and (-8, 6)? Write the equation in point-slope form.​ give me as mcq

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A) y+2=−2(x−1)
B) y−2=−2(x−1)
C) y+2=2(x−1)
D) y−2=2(x−1)

Answer 1

To find the equation of a line passing through two points, calculate the slope using the formula (y2 - y1) / (x2 - x1) and use one of the points to write the equation in point-slope form.

Step-by-step explanation:

To find the equation of a line that passes through the points (1,-2) and (-8, 6), we need to determine the slope and use one of the points to write the equation in point-slope form. The formula for slope is given by:

m = (y2 - y1) / (x2 - x1)

Plugging in the values from the points, we get:

m = (6 - (-2)) / (-8 - 1) = 8 / -9 = -8/9

Now, using the formula for point-slope form:

y - y1 = m(x - x1)

Let's use the first given point (1, -2) to write the equation:

y - (-2) = -8/9(x - 1)

Simplifying the equation, we get:

y + 2 = -8/9(x - 1)

Therefore, the correct equation in point-slope form is y + 2 = -8/9(x - 1). So the answer is A) y + 2 = -8/9(x - 1).