Respuesta :
Answer:
y = 2x + 16
Step-by-step explanation:
Remember: The slope of perpendicular lines are negative reciprocals of each other.
1. Find the slope using the given equation.
y= -1/2x + 8 Using the slope- intercept form y = mx + b, the slope is -1/2 because it is the coefficient of the x-term .
The new line is perpendicular to the given line and their slopes are negative reciprocals of each other. You will use a slope = 2
2. Substitute into the slope intercept form y = mx +b , the value of the slope, "m" and the given point (-6, 4) and solve for "b"
y = mx + b
4 = 2(-6) + b
4 = -12 + b
16 = b
3. General form of slope intercept form: y = 2x +16
