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

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

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

which simplifies to.

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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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