Question

Given these 2 points (−5,15) and (−10,18), which of the following answers could be used for writing its point-slope form?

O m=−3/5​;(−10,18)
O m=−3/5​;(10,−18)
O m=−3/5​;(−5,15)
O m=−3/5​;(−10,18)

Answer 1

The point-slope form of the line passing through the given points (-5,15) and (-10,18) is y - 15 = (-3/5)(x + 5). The correct answer is option O m=−3/5​;(−5,15)

Step-by-step explanation:

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the point-slope form using the given points (-5,15) and (-10,18), we need to calculate the slope first:

Slope = (y2 - y1) / (x2 - x1) = (18 - 15) / (-10 - (-5)) = 3 / -5 = -3/5

Now we can substitute the slope and one of the points into the point-slope equation:

y - 15 = (-3/5)(x - (-5))

Now we simplify:

y - 15 = (-3/5)(x + 5)

Therefore, the correct point-slope form of the line passing through the points (-5,15) and (-10,18) is y - 15 = (-3/5)(x + 5).