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.
Where 1/3 of the 1 section had been painted, have each section have 3 parts. So each complete section will be 3/3. Where there is 4 section with 3 parts each, we have 12 parts. Thus, you painted 1/12 of the fence.