Question

A line passes through the points (9,7) and (4,8). what is its equation in point-slope form

a. y - 7 = -1/5(x-9)
b. y - 8 = 1/5 (x-4)
c. y - 7 = 1/5(x-9)
d. y - 8 = -1/5 (x-4)

Answer 1

The equation of the line in point-slope form is y - 7 = 1/5(x - 9).

Step-by-step explanation:

To find the equation of a line in point-slope form, we need to use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, we have the points (9,7) and (4,8). The slope can be found using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the points, we get m = (8 - 7) / (4 - 9) = 1/5. Now we can choose any point (x1, y1) and substitute these values into the point-slope formula. Let's use (9,7):

y - 7 = 1/5(x - 9)

Therefore, the equation of the line in point-slope form is y - 7 = 1/5(x - 9).