Carson M. answered • 03/29/20

Dedicated, Experienced, and Success-Driven Academic Tutor

Consider the following equation — **-8x - 10y = 19**

- This is a linear equation in S
__tandard Form__**Ax + By = C**

A.) Write the above equation in the form y=mx+b. Enter the values of m and b in the appropriate boxes below as integers or reduced fractions

- Recall the
__Equality Property of Addition__-*If**a = b,**then**a + c = b + c* **-8x - 10y = 19****-8x - 10y + 8x = 19 + 8x****-10y = 8x + 19**- Recall the
__Equality Property of Division__-*If**a = b**, then**(a/c) = (b/c)* **-10y = 8x + 19****(-10y/-10) = (8x/-10) + (19/-10)****(-10/-10)y = (8/-10)x + (19/-10)**__y = (-4/5)x + (-19/10)__- Therefore,
__Slope-Intercept Form__**y = mx + b**of the given linear equation has__slope__**m = (-4/5)**and__y-intercept__at**(0, -19/10)**with**b = (-19/10)**

B.) Use your answer in part A to find the ordered pair that lies on this line when **x = -40**

- Now we are looking for the corresponding y-value of the given linear equation when
**x = -40** - Our equation from part A depends on two unknowns,
**x**and**y,**however, with a given x-value, we can algebraically solve for the corresponding y-value __y = (-4/5)x + (-19/10)__**y = (-4/5)*(-40) + (-19/10)****y = 32 + (-19/10)****y = (320/10) - (19/10)**__y = (301/10)__- Therefore, the ordered pair solution would be
**( -40, 301/10 )**

Carson M.

03/30/20

Chelsea G.

thank you for taking the time to explain all of that. much appreciated!03/30/20