Final answer:
To find the equation of the line that passes through the given points, we calculate the slope and then use the point-slope form. The equation of the line is y = -10x + .
Step-by-step explanation:
To find the equation of the line that passes through the points (,-) and (,1), we'll first calculate the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Let's denote the first point as (x1, y1) and the second point as (x2, y2).
Plugging in the coordinates, we get m = (1 - (-)) / ( - ) = / (-) = -10.
Now, we'll use the point-slope form of a line, which is y - y1 = m(x - x1), to write the equation. Using the first point (x1 = , y1 = -) and the slope m = -10, we obtain y - (-) = -10(x - ).
Simplifying, the equation of the line is y + = -10x + . Bringing the to the other side gives us the final equation: y = -10x + .