Question

If the slope between the points (-5,7) and (4,x) is 1, then
what is the value of x?

Answer 1

16

Explanation:

Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,

`\implies Slope =(y_2-y_1)/(x_2-x_1)\\\\\implies 1 =( 7-x)/(-5-4) \\\\\implies 1 * -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}`

Hence the required answer is 16 .

Answer 2

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Answer:

16

Explanation:

The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...

y -k = m(x -h)

y -7 = x +5

y = x +12

Then for x = 4, the value of y is ...

y = 4 +12 = 16

The point is (4, x) = (4, 16), so x = 16.