Question

Complete the point-slope equation of the line through (3,6) and (5,-8).

Use exact numbers.
y - 6 = ___(x - 3)

Answer 1

To find the point-slope equation, we use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Using (3,6) and (5,-8), the slope is -7 and the point-slope equation is y - 6 = -7(x - 3).

Step-by-step explanation:

To find the point-slope equation of the line through (3,6) and (5,-8), we can use the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. First, let's find the slope: m = (y2 - y1) / (x2 - x1) = (-8 - 6) / (5 - 3) = -14 / 2 = -7.

Next, we can choose either point to plug into the equation. Let's use (3,6). Plugging in the values, we get: y - 6 = -7(x - 3).