For the three-part question that follows, provide your answer to each part in the given workspace. identify each part with a coordinating response. be sure to clearly label each part of your response as part a, part b, and part c. line p has points (9, 5) and (4,0).
part a: determine the slope of line p. show your work.
part b: determine the y-intercept for line p. show your work.
part c: write the equation for line p in slope-intercept form. show your work.

Part A) The slope of the line p is m=1

Part B) The y-intercept is the point (0,4)

Part C) The equation of the line in slope intercept form is

Step-by-step explanation:

Part A) Determine the slope of line p

we have the points

(9, 5) and (4,0)

The formula to calculate the slope between two points is equal to

substitute

therefore

The slope of the line p is m=1

Part B) Determine the y-intercept for line p.

Find the equation of the line p in point slope form

we have

substitute

----> equation in point slope form

Remember that the y-intercept is the value of y when the value of x is equal to zero

so

For x=0

The y-intercept is the point (0,4)

Part C) Write the equation for line p in slope-intercept form

we know that

the equation of the line into slope intercept form is

where

m is the slope

b is the y-coordinate of the y-intercept

we have

substitute

what?

step-by-step explanation:

the answer is d

step-by-step explanation: