Answer:To write a linear equation in slope-intercept form, we use the following formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
We are given that the slope of the line is -2. Therefore, we can substitute -2 for m in the formula:
y = -2x + b
We are also given that the line passes through the point (6, -7). Therefore, we can substitute 6 for x and -7 for y in the formula:
-7 = -2(6) + b
Simplifying this equation, we get:
b = 5
Therefore, the linear equation in slope-intercept form that satisfies the given set of conditions is:
y = -2x + 5
Explanation: