The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
<u>Determine the slope</u>
Slope = 6-(-7)/5-(-3)
Slope = 13/8
<u>For the y-intercept</u>
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
<em>Multiply through by 8</em>
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
28.5 square boxes
Step-by-step explanation:
separate it into a rectangle and a triangle
then the area of rectangel = 8 * 3 = 24
area of triangle = 1/2 * 3 * 3 = 4.5
total area = 28.5 square boxes
check what is the area for each box
So 1 nickle=5 cents
1 quarter=25 sents
q=number of quarters
n=number of nickles so
total is
q+n=20
5n+25q=400 (since 100 cents=1 dollar and 4 dollares=400 cents)
SO THE 2 EQUATIONS WOULD BE
n+q=20
5n+25q=400
so q+n=20
subtract q from both sides
n=20-q
subsitute 20-q for n in the second equation
5(20-q)+25q=400
distribute
100-5q+25q=400
add like terms
100+20q=400
subtract 100 from both sides
20q=300
divide both sides by 20
q=15
thhere are 15 quarters
subsitute 15 for q in first equation
15+n=20
subtract 15 from both sides
n=5
5 nickles
15 quarters
Answer:
112x-280
Step-by-step explanation:
