i cant find the slope

Question

At 91°F, a certain insect chirps at a rate of 104 times per minute, and at 99°F, they chirp 128 times per minute. Write an equation in slope-intercept form that represents the situation.

The equation that represents this situation is

Answer 1

Number of chirps depends on the temperature. If you plotted the two pieces of info in an x-y coordinate plane with y depending on x (chirps depends on tenp), the given points would be plotted as:

(91, 104) and (99,128). Change in y = 128 - 104 = 24. Change in x = 99 - 91 = 8.

The slope is rise / run, change in y / change in x, or in this case 24/8 = 3. That is the slope between those two points.

Using (91, 104) as the point with m = 3 results in:

y - 104 = 3(x - 91)

y = 3x - 273 + 104

y = 3x - 169

For more detail check out this graph:

desmos.com/calculator/pgrwlb36ee