Identify an equation in point-slope form for the line parallel to y-x-4 that
1 answer:
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here (a, b ) = (- 1, 7 ) , then
y - 7 = (x - (- 1) ) , that is
y - 7 = (x + 1) → A
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Answer:
3x+1 is the correct answer
The number of bags of chips sold is 8 and the number of packs of cookies sold is 12
<em><u>Solution:</u></em>
Let "a" be the number of bags of chips sold
Let "b" be the number of packs of cookies sold
Given that,
Cost of one bag of chips = $ 1.50
Cost of one pack of cookies = $ 1.25
Yesterday Abigail made $27 from selling a total of 20 bags of chips and packs of cookies
<em><u>So we can frame a equation as:</u></em>
Number of bags of chips sold + number of packs of cookies sold = 20
a + b = 20 ---- eqn 1
Also given that Abigail made $27 from selling
number of bags of chips sold x Cost of one bag of chips + number of packs of cookies sold x Cost of one pack of cookies = $ 27
1.5a + 1.25b = 27 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
From eqn 1,
a = 20 - b ---- eqn 3
Substitute eqn 3 in eqn 2
1.5(20 - b) + 1.25b = 27
30 - 1.5b + 1.25b = 27
-0.25b = -3
<h3>b = 12</h3>Therefore from eqn 3,
a = 20 - b = 20 - 12 = 8
<h3>a = 8</h3><em><u>Thus we have:</u></em>
number of bags of chips sold = 8
number of packs of cookies sold = 12