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Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (-1,8)

 Mar 19, 2020
 #1
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use a site called mathway

 Mar 19, 2020
 #2
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First, let's define slope-intercept form: it's the form that's usually taught first in math with coordinates(at least in my experience):

 

y = mx + b, where m is the slope, and b is the y-intercept.

 

The problem already gives us a slope of -2, so we can already write part of our desired equation:

 

y = -2x + b

 

Next, the problem gives us a point of (-1, 8). Here, we can plug the point into the equation, with the respective x and y values, giving us:

 

8 = -2 * (-1) + b

This simplifies to

 

8 = 2 + b, or 

 

b = 6

 

Finally, we have our desired equation, which is y = -2x + 6!(not factorial)

 Mar 20, 2020

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