What is the equation in point-slope form and slope intercept form for the line given (5-2),m=3?

Answer 1

Eva Adamson

(1) Point - slope form #y + 2 = 3 * (x - 5)#

(2) slope intercept form #y = 3x - 17#

Point - slope form #y - y_1 = m (x - x_1#

Slope - intercept form #y = mx + c#

Given #(x_1 = 5), (y_1 = -2)#

(1) Point - slope form #y + 2 = 3 * (x - 5)#

(2) slope intercept form #y = 3x - 15 - 2 = 3x - 17#

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Answer 2

Julia Adams

Point-slope form: ( y - y_1 = m(x - x_1) ) where ( (x_1, y_1) ) is the point and ( m ) is the slope.

Given ( (x_1, y_1) = (5, -2) ) and ( m = 3 ), the equation in point-slope form is ( y - (-2) = 3(x - 5) ).

Slope-intercept form: ( y = mx + b ) where ( m ) is the slope and ( b ) is the y-intercept.

Substituting ( m = 3 ) and ( (x_1, y_1) = (5, -2) ), the equation in slope-intercept form is ( y = 3x - 17 ).

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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.