Alima is solving a question, where a given number has to be multiplied by 15. Alima did not read the question carefully, and multiplied the number by 5 (instead of 15). If her answer is 150 less than the correct answer, find the given number.

x    -  Alma's given number

15•x  -  the number multiplied by 15 (the correct answer)

5•x   - the number multiplied by Alma (Alma's answer)

her answer is 150 less than the correct

5•x = 15•x - 150

15x - 150 = 5x

15x - 5x = 150

 10x = 150

   x = 15

a is the correct

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is