Given the equation 8x + 7y = 5, rewrite it in slope-intercept form. Simplify your answer.

June 29, 2026Mathematics

ScanSolve AI Answer

June 29, 2026

Answer

$y = -\frac{8}{7}x + \frac{5}{7}$

Step 1: Start with the given equation.

8x + 7y = 5

Step 2: Subtract $8x$ from both sides of the equation to isolate the term with $y$ .

7y = 5 - 8x

Rearrange the right side to match the $mx+b$ format.

7y = -8x + 5

Step 3: Divide both sides by $7$ to solve for $y$ .

\frac{7y}{7} = \frac{-8x + 5}{7} \\ y = \frac{-8}{7}x + \frac{5}{7}

The equation in slope-intercept form is $\boxed{y = -\frac{8}{7}x + \frac{5}{7}}$ .

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Quick Answer

Start with the given equation. 8x + 7y = 5 Step 2: Subtract 8x from both sides of the equation to isolate the term with y.

Asked on June 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 29, 2026

Step 1: Start with the given equation. 8x + 7y = 5 Step 2: Subtract 8x from both sides of the equation to isolate the term with y. 7y = 5 - 8x Rearrange the right side to match the mx+b format. 7y = -8x + 5 Step 3: Divide both sides by 7 to solve for y. (7y)/(7) = (-8x + 5)/(7) \\ y = (-8)/(7)x + (5)/(7) The equation in slope-intercept form is y = -(8)/(7)x + (5)/(7). What's next?