Respuesta :
Convert to y = mx + b
y = x + 5
The slope is one
Now, convert this into point slope form:
y - y1 = m(x - x1)
y + 5 = 1 (x - 2)
y + 5 = x - 2
Subtract 5 from both sides.
y = x - 7
An equation of the line that is perpendicular to -x + y = 5 and passes through the point (2, -5) should be y = x - 7
Answer:
Equation of the line is y =-1x - 3
Step-by-step explanation:
an equation of the line that is perpendicular to -x + y = 5 and passes through the point (2, -5).
-x + y = 5, solve for y to find the slope of the given line
add x on both sides
y=x+5, slope of given line = 1
Slope of perpendicular line is the negative reciprocal of the slope of given line
slope of perpendicular line = -1
m = -1 and passes through point (2,-5) is (x1,y1)
use point slope formula
y - y1= m(x-x1)
y + 5 = -1(x-2)
y+5 = -1x +2
Subtract 5 from both sides
y = -1x-3
Equation of the line is y =-1x - 3
