Marianna Irene still has 35 pages of history to be read after she has been reading for 10 minutes, and 5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read varies linearly with the number of minutes she has been reading.
a) Write the equation expressing pages in terms of minutes.
b) Sketch the function.
c) Predict the time when she has finished reading.

Question

Marianna Irene still has 35 pages of history to be read after she has been reading for 10 minutes, and 5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read varies linearly with the number of minutes she has been reading.
a) Write the equation expressing pages in terms of minutes.
b) Sketch the function.
c) Predict the time when she has finished reading.

anonymous · Answer

let x= total amount of pages 
in 10 minutes, she read x-35 pages
(x-35,10)
in 50 minutes, she read x-5 pages
(x-5,50)

find the slope of the line

anonymous · Answer

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
$$m=\frac{y_2-y_1}{x_2-x_1}$$

standard formula
$$Ax+By=C$$

point-slope formula
$$y-y_1=m(x-x_1)$$

slope-intercept formula
b= y-intercept -- in the form of (0,y)

$$y=mx+b$$