Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite th
is equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form? A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.
D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Step-by-step explanation:
<u>Let's convert the standard equation into slope-intercept form:</u>
Ax + By = C ⇒ subtract Ax from both sides
By = -Ax + C ⇒ divide both sides by B
y = -A/Bx + C/B ⇒ converted to slope- intercept form
As we see the slope is -A/B
<u>The equation 7x + 9y = 14 is converted as:</u>
y = -7/9x + 14/9, where the slope is -7/9
<u>Looking at the answer options and the correct one is option B, where both identification of slopes match.</u>
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
. A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a showQuestion: how much total profit was there from ticket sales?=> 200 dollars = the flat charge rate of the theater technician=> 400 000 dollars = the theater's profit from the ticket sale=> 5% the percentage a technician is askingSolutions=> 5% = 5% / 100% = 0.05=> 400 000 dollars * 0.05 = 20 000 dollars.Let's total=> 200 + 20 000 = 20 200 dollars.<span> </span>
For function one you have to distribute the three to the x and the five which would give you a function of 3x+15.
This will result in different y-intercepts function one's why being 15 and function's two y-intercept being 5. Though the will have the same slope they are two different functions.