Question

Write the point-slope form of the equation of the line described.

a) (y - 2 = 0(x - 4))
b) (y - 4 = (7/5)(x - 1))
c) (y + 5 = 1(x - 1))
d) (y + 2 = 2(x - 1))

Answer 1

The slope of the line passing through the points (1, 0.1) and (7, 26.8) is calculated to be 4.5 by using the difference in y-coordinates divided by the difference in x-coordinates.

Step-by-step explanation:

The slope of a line that passes through two points can be calculated using the formula for slope, which is the change in the y-coordinates (rise) divided by the change in the x-coordinates (run). For the points (1, 0.1) and (7, 26.8), the slope m is calculated as follows:

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

m = (26.8 - 0.1) / (7 - 1)

m = 26.7 / 6

m = 4.45

Therefore, the slope of the line passing through the two given points is 4.5.