How do you write an equation in slope-intercept form of the line that passes through the points (-6,5) and (1,0)?

Answer 1

See explanation

Given line is passing through points #(-6,5) & (0,1)#.
First we find slope #(m)# of the line passing through above two points.
#m = (y_2 - y_1)/(x_2 - x_1)#
= #(1 - 5)/ {0 - (-6)}#
= #-4 / 6# = #-2 / 3#

Now standard form of slope intercept form of line is :

#(y - y_1) = m (x - x_1)#
#( y - 5) = -2/3 {x - (-6)}#
#(y -5) = -2/3 (x + 6)#
#(y - 5) = (-2/3) x - 12/3#
#y - 5 = (-2/3) x - 4#
#y = (-2/3) x - 4 + 5#
#y = (-2/3) x +1#
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Answer 2

To write the equation in slope-intercept form given two points, you first need to find the slope ( m ) using the formula ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Once you have the slope, you can choose one of the points and plug its coordinates and the slope into the slope-intercept form equation ( y = mx + b ) to solve for ( b ), the y-intercept. Then, substitute the values of ( m ) and ( b ) into the equation to obtain the final equation in slope-intercept form.

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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.

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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