How do you write the equation of the line with (1, 7) and (2, 10)?

Answer 1

#y=3x+4#

#"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)=(1,7)" and "(x_2,y_2)=(2,10)#
#rArrm=(10-7)/(2-1)=3/1=3#
#rArry=3x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"# #"the partial equation"#
#"using "(1,7)" then"#
#7=3+brArrb=7-3=4#
#rArry=3x+4larrcolor(red)"is the equation of line"#
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Answer 2

To write the equation of the line passing through the points (1, 7) and (2, 10), you can use the point-slope form:

[ y - y_1 = m(x - x_1) ]

where ( m ) is the slope of the line, and ( (x_1, y_1) ) is one of the given points.

First, calculate the slope using the formula:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

Substitute the coordinates of the given points into the formula to find the slope.

Then, choose one of the points and substitute its coordinates into the point-slope form along with the calculated slope to get the equation of the line.

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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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