at 4 weeks ,Jason has $ 65 in his checking account. At 10 week,he only has $35 in the account.

Question

.Find the slope,the y Intercept  as an ordered pair ,the x intercept as an ordered pair ,the equation in point slope form. and  the equation standard form.

Answer 1

The slope is sometimes called the "rise over run."  This checking account decreases $30 (that is $65-$35) in 6 weeks (that is, 10-4 weeks).  So $30/(6 wk) = $5 per wk.  Slope = -$5/wk.

 

The y-intercept (the place where x=0) is week 0, the account had $85.   y-intercept is (wk 17, $85).

 

The x-intercept (the place where y=0) is week 17, the account has $0.   x-intercept is (wk 17, $0)...

 

The equation of a line in point-slope form is:    y-y₁ = m(x-x₁)    where m=slope and (x₁,y₁) is a point

      y-65 = -5(x-4)

 

     [note:  the line is also:    y-35 = -5(x-10) ]