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Rewrite the following equation in slope-intercept form. 7x+2y=−117x + 2y = -11

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Full solution

Q. Rewrite the following equation in slope-intercept form. 7x+2y=−117x + 2y = -11
  1. Isolate y term: To convert the equation to slope-intercept form, we need to solve for yy. The slope-intercept form is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Solve for y: Subtract 7x7x from both sides of the equation to isolate the yy term on one side.\newline7x+2y−7x=−11−7x7x + 2y - 7x = -11 - 7x\newlineThis simplifies to 2y=−7x−112y = -7x - 11.
  3. Convert to slope-intercept form: Divide every term by 22 to solve for yy.2y2=−7x2−112\frac{2y}{2} = \frac{-7x}{2} - \frac{11}{2}This simplifies to y=−72x−112y = -\frac{7}{2}x - \frac{11}{2}.

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