How do you write the equation of a line given (-4,6) (-1,-3)?

Answer 1

#y=-3x-6#

#"the equation of a line in "color(blue)"slope-intercept form"# is.
#•color(white)(x)y=mx+b#
#"where m is the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(-4,6)" and "(x_2,y_2)=(-1,-3)#
#rArrm=(-3-6)/(-1-(-4))=(-9)/3=-3#
#rArry=-3x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"# #"the partial equation"#
#"using "(-1,-3)" then"#
#-3=3+brArrb=-3-3=-6#
#rArry=-3x-6larrcolor(red)"is equation of line"#
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Answer 2

To write the equation of a line given two points ((x_1, y_1)) and ((x_2, y_2)), you can first find the slope using the formula (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}). Once you have the slope, you can use one of the points and the slope in the point-slope form equation (y - y_1 = m(x - x_1)). Finally, you can simplify the equation to standard form (Ax + By = C).

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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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