Required equation in point slope form is: y = 2x -16
Step-by-step explanation:
We need to find an equation in point slope form for the line perpendicular to y= -1/2x+11 that passes through (4,-8)
The equation of point slope form is:
where m is slope and b is the y-intercept
Finding Slope of required equation:
We can find slope by comparing this equation y= -1/2x+11 with standard y = mx+b equation.
m = -1/2
Since the lines are perpendicular the slope of line will be: -1/m
So, Slope of required equation is 2
Now finding b (y-intercept)
Putting y=-8, x=4 and m=2
y = mx + b
-8 = 2(4) + b
-8 = 8 + b
=> b = -8-8
b = -16
So, required equation having slope m=2 and y-intercept b = -16
y = mx + b
y = 2x -16
So, Required equation in point slope form is: y = 2x -16
Learn More about point slope form at:
brainly.com/question/12941985
brainly.com/question/4819659
Keywords: point slope form, perpendicular line
#learnwithBrainly