Q. What is the slope of the line represented by the equation 3x−4y=7 ?
Equation setup: To find the slope of the line represented by the equation 3x−4y=7, we need to solve for y to get the equation into slope-intercept form, which is y=mx+b, where m is the slope.
Isolate terms with y: Subtract 3x from both sides of the equation to isolate terms with y on one side.3x−4y−3x=7−3x−4y=−3x+7
Solve for y: Divide all terms by ext{−4} to solve for y.y = \frac{(−3x + 7)}{−4}y = \left(\frac{3}{4}\right)x - \frac{7}{4}
Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope, which is the coefficient of x.The slope m=43.
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