Answer:
The equation of line B is
y = 3x + 3
Step-by-step explanation:
The equation of line A is y = -10x + 8.
Recall, the slope intercept equation is y= mx + c
Where m is slope
c = intercept
Comparing the equation of line A with the slope intercept equation,
Slope, m = -10
For two lines that are perpendicular, the product of their slopes is -1
Let slope of line B = m1
Since line A and line B are perpendicular,
m×m1 =-1
-10 × m1 = -1
m1 = -1/-10= 1 / 10
The y- intercept of line B is 3
We will make use of the slope intercept equation again
y = mx + c
With m = 1/10
c = 3
y = 3x + 3
The equation of line B is
y = 3x + 3
