Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A line passes through point (-2, 5) and has a slope of 23 . Points A(x, 3) and B(-2, y) lie on the line. The value of x is , and the value of y is .

Answer 1

The value of x is -48/23.

The value of y is 5.

What is Slope?

The slope of line is measure of its steepness.

Given that;

Equation of line passes through point (-2, 5) and has a slope of 23.

Since, Equation of line passes through a point (a, b) and has slope 'm' is;

y - a = m (x - b)

Hence, Equation of line passes through point (-2, 5) and slope of 23 is;

y - 5 = 23 (x - (-2))

y - 5 = 23 (x + 2)

y - 5 = 23x + 46

y = 23x + 46 + 5

y = 23x + 51

Since, Points A(x, 3) and B(-2, y) lie on the line.

Hence, Both points are satisfy the above equation.

When A(x, 3) lie on line, then we get;

3 = 23x + 51

23x = 3 - 51

23x = -48

x = -48/23

And, When B(-2, y) lie on the line, we get;

y = 23 * (-2) + 51

y = -46 + 51

y = 5

So, The value of x is -48/23

And, The value of y is 5.

Learn more about the slope of line visit:

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