Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?

Question

1. x+y=2

2. y=-x+5

3. -x+y=5

4. y=-x+2

Answer 1

Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?
1. x+y=2
2. y=-x+5
3. -x+y=5
4. y=-x+2

 

Write the slope form equation:

Let m = slope =-1, and point( x1,y1) be (-3,5)

m=y-y1/x-x1, Substitute -1=y-5/x+3, cross multiply

 

-1(x+3)=y-5, expand -x-3=y-5, rearrange -x-y=-5+3, -x-y=-2 multiply

both side by -1, -1(-x-y=-2),  x+y=2

 

if you write this equation in y intercept form y=mx+b , Then y=-x+2 with slope of -1 and a y intercept of 2

 

Check if x =-3 then y=5 , y=-(-3)+2=3+2=5 checks

 

the equation in standard form is x+y=2

the equation in y intercept form y=-x+2

 

Choice 1