Final answer:
To write the equation of a line in slope-intercept form, we use the equation y = mx + b. Given the point (-2,6) and slope -8, we can substitute these values into the equation and solve for b to find the equation of the line.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we use the equation y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is -8 and the line passes through the point (-2,6). Plugging in these values into the equation, we get:
y = -8x + b
Since the line passes through (-2,6), we can substitute these values into the equation to find the value of b:
6 = -8(-2) + b
Simplifying, we get:
6 = 16 + b
Subtracting 16 from both sides, we get:
-10 = b
Therefore, the equation of the line is y = -8x - 10 in slope-intercept form.