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Savatey [412]
3 years ago
5

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.
Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

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.

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