Question

FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.




slope (m):


y-intercept (b):


equation:

Answer 1

Answer:

Slope = -60 miles per hour

y-intercept = 300 mi.

Equation of the line → y = -60x + 300

Step-by-step explanation:

Let the equation representing relation between the distance to beach and time taken is,

y = mx + b

Where, m = slope of the line = Average speed of Kate

y = Distance to the beach

x = time taken

b = Distance from the beach at t = 0

Slope of a line joining points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope the line joining (5, 0) and (0, 300),

Slope 'm' = $\frac{300-0}{0-5}$ = -60 miles per hour

y intercept 'b' = 300 mi.

So the equation will be,

y = -60x + 300