Question

Equation of a line passing through 2,5 with a slope of -1

Answer 1

point slope form y-5 = -1(x-2)

slope intercept form y = -x +7

Explanation:

We have the slope and a point, we can use the point slope form

y-y1 = m(x-x1)

y-5 = -1(x-2)

Distribute

y-5 = -x+2

This is the point slope form

We can also manipulate the equation into slope intercept form

Add 5 to each side

y-5+5 = -x+2+5

y = -x +7