Question

Passes through (-1,4) and (3,2) in standard form

A.y=-1/x+7/2
B.y=1/2x+7/2
C.y=-1/2x+5/2
D.y=1/2x+5/2

Answer 1

The equation that passes through (-1,4) and (3,2) is y = -1/2x + 5/2.

So, The answer C is the correct answer

Step-by-step explanation:

The equation that passes through (-1,4) and (3,2) is y = -1/2x + 5/2. To find the equation, we first need to find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (2 - 4) / (3 - (-1)) = -1/2.

We can then use the slope-intercept form of a linear equation, y = mx + b, and plug in one of the points to solve for the y-intercept (b).

Using the point (-1,4), we get 4 = -1/2(-1) + b. Simplifying this equation, we find b = 5/2. Therefore, the equation of the line is y = -1/2x + 5/2.

So, The answer C is the correct answer