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.
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