How do you write the equation of a line in point slope form and slope intercept form given Point: (1, –7); Slope: -2/3?
Point-slope form.
Point-slope formula.
y-intercept form.
y-intercept formula.
Flip the equation (optional).
Add 2/3 to both sides.
Make the denominators the same.
Now we can write the equation of the line in slope-intercept form.
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Point-slope form: ( y - y_1 = m(x - x_1) ) Given point ( (1, -7) ) and slope ( m = -\frac{2}{3} ), Point-slope form becomes: ( y - (-7) = -\frac{2}{3}(x - 1) )
Slope-intercept form: ( y = mx + b ) Given slope ( m = -\frac{2}{3} ) and point ( (1, -7) ), Substitute ( x = 1 ), ( y = -7 ), and ( m = -\frac{2}{3} ) into slope-intercept form to find ( b ): ( -7 = -\frac{2}{3}(1) + b ) ( -7 = -\frac{2}{3} + b ) ( b = -\frac{19}{3} )
Therefore, the equation in point-slope form is ( y + 7 = -\frac{2}{3}(x - 1) ), and in slope-intercept form is ( y = -\frac{2}{3}x - \frac{19}{3} ).
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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.
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.
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.
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.
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