What is the slope of the line represented by the equation – 5x + 2y = 10 ?
2 answers:
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Answer:
y = - (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
= a , that is
a = -
y = - (x - 5)² + 7 ← in vertex form
Answer:
• David
,• 4 miles
Explanation:
In the graph:
The given locations are:
• Owen's House, A(11,3)
,• David's House, B(15,13)
,• School, C(3,18)
We determine both Owen's and David's distance from the school using the distance formula.
Owen's distance from school (AC)
David's distance from school (BC)
We see from the calculations that David lives closer to the school, and by 4 miles.
The graph below is attached for further understanding:
