Question

The point (-3,6) is on a line with a slope of 4. Choose the linear equation that contains the point (-3,6) as a solution.

A) y = 4x + 6
B) y = 4x - 3
C) y = 4x + 18

Answer 1

The linear equation that contains the point (-3,6) as a solution is y = 4x + 18.

Step-by-step explanation:

To find the linear equation that contains the point (-3,6) as a solution, we need to 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 a point on the line and m is the slope of the line.

In this case, the point is (-3,6) and the slope is 4. Plugging these values into the point-slope form equation gives us:
y - 6 = 4(x - (-3))
y - 6 = 4(x + 3)
y - 6 = 4x + 12
y = 4x + 18

Therefore, the linear equation that contains the point (-3,6) as a solution is y = 4x + 18.