The equations are graphed in the xy-plane. Which equation's graph will have a slope of (7)/(8) and a y intercept of 3 ? Choose 1 answer: (A) 7x+8y=24 (B) 7x-8y=-24 (c) 8x+7y=3 (D) 7x-8y=3

Question

The equations are graphed in the  xy-plane. Which equation's graph will have a slope of  (7)/(8) and a  y intercept of 3 ? Choose 1 answer: (A)  7x+8y=24 (B)  7x-8y=-24 (c)  8x+7y=3 (D)  7x-8y=3

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Understand slope-intercept form: Understand the slope-intercept form of a linear equation. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We need to find an equation that can be rearranged into this form with a slope of 7/8 and a y-intercept of 3.Analyze option (A): Analyze option (A) 7x + 8y = 24. To put this equation into slope-intercept form, we need to solve for y. 8y = -7x + 24 y = (-7/8)x + 3 This equation has a slope of -7/8 and a y-intercept of 3, which does not match the required slope of 7/8.Analyze option (B): Analyze option (B) 7x - 8y = -24. To put this equation into slope-intercept form, we need to solve for y. -8y = -7x - 24 y = (7/8)x + 3 This equation has a slope of 7/8 and a y-intercept of 3, which matches the required slope and y-intercept.Analyze option (C): Analyze option (C) 8x + 7y = 3. To put this equation into slope-intercept form, we need to solve for y. 7y = -8x + 3 y = (-8/7)x + 3/7 This equation has a slope of -8/7 and a y-intercept of 3/7, which does not match the required slope of 7/8 nor the y-intercept of 3.Analyze option (D): Analyze option (D) 7x - 8y = 3. To put this equation into slope-intercept form, we need to solve for y. -8y = -7x + 3 y = (7/8)x - 3/8 This equation has a slope of 7/8 but a y-intercept of -3/8, which does not match the required y-intercept of 3.

The equations are graphed in the $x y$ -plane. Which equation's graph will have a slope of $\frac{7}{8}$ and a $y$ intercept of $3$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $7 x+8 y=24$ $\newline$ (B) $7 x-8 y=-24$ $\newline$ (C) $8 x+7 y=3$ $\newline$ (D) $7 x-8 y=3$

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