I NEED HELP IT IN ALGEBRA

Question

At 91°F, a certain insect chirps at a rate of 85 times per minute, and at 99°F, they chirp 133 times per minute. Write an equation in slope-intercept form that represents the situation.

Answer 1

First calc is for slope (m). Chg in chirp frequency vs. temp (rise/run). (133 - 85)/(99 - 91) = 48/8 = 6

Slope-int form: y = mx + b. Using one of the pairs: 85 = 6(91) + b. b = 85 - 546 = -461

y = 6x - 461

Answer 2

Consider the given information as ordered pairs: (Temperature, Chirps)

The points are (91,85) and (99, 133)

First calculate the slope between these points: (133 - 85) / (99 - 91) = 48 / 8 = 6.

If you want to use y = mx + b format, then use y = 85, m = 6, x = 91 and solve for b:

85 = 6(91) + b

85 = 546 + b

-461 = b

replace m and b : y = 6x - 461

Answer 3

(91, 85) and (99, 133)

are two points with a line through them

with the equation: (133-85)/(99-91) = 48/8 = 6 = (y-85)/(x-91)

y-85 = 6(x-91) in point slope form

y = 6x -546 +85

y = 6x - 461 in slope intercept form