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How do you change #y - 2/3 = -2(x - 1/4)# into slope intercept form?

Answer 1

Julia Adams

Slope-intercept form is #y = mx+c#

#y = -2x+1 1/6" or " y = -2x+7/6#

#y - 2/3 = -2(x-1/4)#

Follow the usual process of simplifying - start by getting rid of the brackets.

#y - 2/3 = -2x+1/2#

Slope-intercept form is #" "y = mx +c" "# so isolate the #y#-term

#y= -2x+1/2+2/3" "larr# add the fractions

#y = -2x +(3+4)/6#

#y = -2x+7/6" or " y = -2x+1 1/6#

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Answer 2

Ethan Adkins

To change the equation y - 2/3 = -2(x - 1/4) into slope-intercept form, first distribute -2 into the parentheses. Then, add 2/3 to both sides to isolate y. Finally, rearrange the equation to solve for y. The slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.