Problema Solution

find the value of x so that the line that passes through the points (x/2,7),(-10,15) has a slope of 4

Answer provided by our tutors

The general equation of line is:

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

m = 4

y = 4x + b

Since it goes trough (-10,15) we have for x = -10, y = 15, that is:

4*(-10) + b = 15

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b = 55

The equation of the line is:

y = 4x + 55

The line goes trough (x, 27) means:

4x + 55 = 27 for some value of x

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x = - 7 

The value of x is -7.