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sukhopar [10]
2 years ago
7

Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

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fomenos

Answer: y=-6

Step-by-step explanation:

First convert the equation -2y= 8 into y intercept form by divide both sides by -2.

-2y = 8  

y= -4     Now that the line is in y intercept form we can now determine the slope.The slope is 0  so -4 in this case is the y intercept.

Remember lines that a parallel needs to have the same slope but different y-intercepts.

So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)  

So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.

y is -6 and x is 2

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-6 = 0 + b

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In this case the y intercept is -6 so since the slope is zero we will have the equation  y = -6  

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