Find the slope-intercept equation of the line that satisfies the given conditions. passes through (−1, 3) and is perpendicular to x − 8y = 6

Answer 1

The slope of the given line is 1/8; therefore the slope of the perpendicular line is -8.

-8 = (y-3)/(x+1)

This form can be "massaged" around into any required form.

Answer 2

Put the equation in the format y = mx + b. m is the slope, and any parallel line will have the same slope, and any perpendicular line will have a slope that is the negative reciprocal. Example: the slope of a line is 2. the perpendicular line will have a slope of -1/2

Once you have the slope, use the give point to find b (simply plug in the values for y, x, and m, and solve for b