**y= (-2)x + 45**

*You can verify that this equation is correct by plugging in x or y from the other set of values into the equation:*

*y= -2x + 45*

*y= -2(13) +45*

*y= -26 + 45*

*y=19*

*Hope this helps!*

*Jason*

I don't know how to do this. I need to find the equation of the line that passes through (13,19) & (16,13)

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Jason S. | HELP IN SPANISH, SCIENCE, MATH AND WRITINGHELP IN SPANISH, SCIENCE, MATH AND WRITI...

Hi Idk,

The equation is found first by measuring the slope of the line.

Slope is denoted by rise over run (rise/run), or y/x.

This is found by taking (y2-y1)/(x2-x1)

in the points given, x is the first value and y is the second, so x1=13, x2=16, y1=19 and y2=13.

Therefore, rise over run (slope)=

(13-19)/(16-13) = (-6/3) = -2

Furthermore, the equation of a straight line is always in the form y=mx+b, where m is the slope and b is the y-intercept (or where x=0). You can find b by plugging in either of the two points you are given in the equation

i.e. 13=(-2)(16)+b

13= -32 +b

b= 13+32

b= 45

So the equation of the line (in y=mx+b format) is **y= (-2)x + 45**

David M. | Math Tutor in Many Areas.Math Tutor in Many Areas.

You have 2 equations in the form of y=mx+b that you can form with these points since you are given 2 x and y values that go together.

Equation 1: 19=13m+b

Equation 2: 13=16m+b

Using the elimination method, subtract Equation 1 from Equation 2. This gives you -6=3m. Solving for this you get m=-2.

Now replace m with -2 into 1 of the equations and solve for b.

In Equation 1, it would be 19=13(-2)+b, which simplifies to 19=-26+b and b=45

Since m=-2 and b=45, the equation is y=-2x+45.

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