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How do you write the equation for slope 5; y-intercept (0,-2) and slope -3/4; y-intercept (0,8)?

Answer 1

#y=5x-2#
#y=-3/4x+8#

The standard form for a linear equation is #y=mx+c# (Note: some textbooks show this as #y=mx+b#, but they are the same idea.)

The #m#, is the slope or gradient.

And the #c# (or #b#), is the y-intercept. For y-intercept the #y# value is the important one, (the second number).

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Answer 2

Eva Abramson

To write the equation of a line given the slope and y-intercept, you can use the slope-intercept form, which is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

For the first line with slope 5 and y-intercept (0, -2), the equation is ( y = 5x - 2 ).

For the second line with slope -3/4 and y-intercept (0, 8), the equation is ( y = -\frac{3}{4}x + 8 ).

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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.