Lesson 23 godine by og Activity 3 Application
The town of Amory lies due north of Chester, and Bristol lies due east of
Chester. If you drive from Amory to Bristol by way of Chester, the distance is 17
miles, but if you take the back road
directly from
Amory to Bristol, you save 4
miles. You would like to know the distance from Bristol to Chester,
a. What is the unknown quantity? Call it.
b. Make a sketch and label it with distances,
c. Write an equation about the variable
d. Solve your equation.
e. How far is it from Bristol to Chester?

1 1/5

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the answer to your question is b.