State the equation of the line in y=mx+b if the line...?

Question

is parallel to y=-x+4 and has a y-intercept of -3

Answer 1

If the line is in the form y = mx + b, then m is the slope and b the intercept.

The slope of y = -x + 4 is -1

parallel lines have the same slope so the new line also has a value for m of -1

Since the intercept is -3, the linear equation is

y = -x - 3

Answer 2

x-3

Answer 3

okay first you know it's the same slope so uses that.

                         -1=m

Then use the point that is given (0,-3) and cross multiply using slope formula.

                         -1=(-3-y/ 0-x)

                          x=-3-y

                           y=-x-3

Answer 4

here you need to apply the point slope for mula

(y-y1)=m(x-x1)   the point of the equation is given by the y intercept which has a coordinate of (0, -3)

also since the lines will be parallel is it known that they will have the same slope.

so we have  y-(-3)=-1(x-0)

                    y+3=-x

                    y= -x-3

notice both slopes are the same (-1)

Answer 5

y=-x -3

since the lines are parallel they have the same slope (or m value)

so y = -x + B

since the y intercept (or B value) is -3

so

y = -x+ (-3) or y = -x - 3