How do you write a linear function equation that passes through points (-2,5) and (-4,7)?

Answer 1

#y=-x+3#

The equation of a line in #color(blue)"point-slope form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))# where m represents the slope and # (x_1,y_1)" a point on the line"#
To calculate m, use the #color(blue)"gradient formula"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))# where # (x_1,y_1),(x_2,y_2)" are 2 points on the line"#

The 2 points here are (-2 ,5) and (-4 ,7)

#rArrm=(7-5)/(-4-(-2))=2/(-2)=-1#
Use either of the 2 given points for # (x_1,y_1)#

substitute m = - 1 and (-2 ,5) into the equation.

#y-5=-1(x+2)rArry-5=-x-2#

which simplifies to.

#y=-x+3#
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Answer 2

To write a linear function equation that passes through two points (-2,5) and (-4,7), you can use the point-slope form of a linear equation.

First, calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

Using the points (-2,5) and (-4,7): m = (7 - 5) / (-4 - (-2)) = 2 / (-2) = -1

Now, you have the slope (m). Next, choose one of the points (let's say (-2,5)) and plug it into the point-slope form equation: y - y1 = m(x - x1)

Using (-2,5): y - 5 = -1(x - (-2))

Now, simplify: y - 5 = -1(x + 2)

Distribute -1: y - 5 = -x - 2

Add 5 to both sides: y = -x - 2 + 5

Simplify: y = -x + 3

So, the linear function equation that passes through the points (-2,5) and (-4,7) is y = -x + 3.

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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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