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If m = −72 is slope, y - intercept is 12 and the point ( x, 5 ) lies on the line. What is the value of x ?

User OMG Ponies
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1 Answer

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A line can be represented in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

Given that m = −72 and the y-intercept is 12, we can represent the line as y = −72x + 12

We are also given that the point (x, 5) lies on the line. So we can substitute the x and y values of the point into the equation of the line to find the value of x.

y = −72x + 12

5 = −72x + 12

-7 = -72x

x = 7/72

So the value of x is 7/72.

We can also get this by solving the equation of the line for x.

y = -72x + 12

y - 12 = -72x

(y - 12)/-72 = x

x = (y - 12)/-72

So for any point (x, y) on the line, the value of x can be obtained by substituting y and the slope-intercept form equation.

User Farrukh Chishti
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