Question

Which one of these equations has a slope of 4 and contains the point (8,2)?

a) y = 4x - 30
b) y = 2x + 8
c) y = 4x - 18
d) y = 8x + 2

Answer 1

The equation with a slope of 4 that contains the point (8,2) is y = 4x - 30. Thus, the equation y = 4x - 30 has a slope of 4 and contains the point (8,2).

Step-by-step explanation:

To find the equation with a slope of 4 that contains the point (8,2), we can use the point-slope form of a linear equation.

The point-slope form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Using this equation, we can substitute the values x1 = 8, y1 = 2, and m = 4 to find the equation that satisfies the given conditions.

Thus, the equation y = 4x - 30 has a slope of 4 and contains the point (8,2).