Q. What is the slope of the line?2x+4y=6x−yChoose 1 answer:(A) 32(B) 23(C) 54(D) 45
Rearrange equation into slope-intercept form: First, we need to rearrange the equation into slope-intercept form, which is y=mx+b, where m is the slope.2x+4y=6x−y
Isolate the y term: Subtract 2x from both sides to start isolating the y term.4y+y=6x−2x
Combine like terms: Combine like terms on both sides of the equation. 5y=4x
Solve for y: Divide both sides by 5 to solve for y.y=(54)x
Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope.The slope m is the coefficient of x, which is 54.
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