Question

Write an equation in point-slope form of the line that passes through the point (3, 5)

and has a slope of m=−1

Answer 1

The equation in point slope form of the line passes through the point (3,5) and has a slope of m=-1 is y= -1x+8.

Point Slope Formula in Math:

y − y1= m (x − x1)

where,

(x, y) is a random point on the line(which should be kept as variables while applying the formula).

(x1, y1) is a fixed point on the line.

m is the slope of the line.

y=mx+c

m= -1

y-y1=m(x-x1)

y-5=-1(x-3)

y-5=-1x+3

y= -1x+8