Write an equation of the line that passes through the given points. (-1,7) (3,-9)

Mathematics

2 answers:

MA_775_DIABLO [31]4 years ago

8 0

Answer:

y=-4x+3

Step-by-step explanation:

If we wanted to write an equation for the line in slope intercept form, than first we would need to find the slope. We can do this by using the equation y2-y1/x2-x1=m or slope. Slope intercept form can be written as y=mx+b.

-9-7=-16

3--1 or 3+1=4

Now we can divide.

-16/4=-4

The slope is -4

Now we have to find the y intercept, or b.

To do so, insert all of the place values we know into the equation and solve for b.

7=4+b

3=b

So the y-intercept is 3.

Finally, we can write the complete equation as y=-4x+3

Hope this helps! :D

Novay_Z [31]4 years ago

5 0

Answer:

x=13

hope you do well

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PLEASE HELP

Marat540 [252]

Answer:

Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral

Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.

Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.

Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.