Question

Given the slope (0, y) and (1, -4) with a slope of 2, what are the coordinates for point (0, y)?

A) (1, -2)
B) (0, 4)
C) (0, 2)
D) (1, 2)

Answer 1

To find the coordinates for point (0, y), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. Using the given slope of 2 and point (1, -4), we can find the equation of the line, y = 2x - 6. Substituting x = 0, we find that y = -6, so the coordinates for point (0, y) are (0, -6).

Step-by-step explanation:

To find the coordinates for point (0, y), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. We know that the slope is 2 and we have another point on the line, (1, -4).

Using the formula, we can substitute the values of the slope and one of the points to find the y-intercept. We have: -4 = 2(1) + b. Solving for b, we get b = -6.

Therefore, the equation of the line is y = 2x - 6. To find the coordinates for point (0, y), we substitute x = 0 into the equation. We have y = 2(0) - 6, which simplifies to y = -6.

So, the coordinates for point (0, y) are (0, -6).