Identify the slope and the y-intercept of the following line!
y=-3+x

( 0 , - 3 )

Step-by-step explanation:

1.000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-3+x)=0

STEP1:

Equation of a Straight Line

1.1     Solve   y-x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on a Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y-axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -3/1  = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is 3/1 Our line therefore "cuts" the x-axis at x= 3.00000

 x-intercept = 3/1  =  3.00000

Calculate the Slope :

The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - (-3.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000

Geometric figure: Straight Line

Slope = 2.000/2.000 = 1.000

x-intercept = 3/1 = 3.00000

y-intercept = -3/1 = -3.00000

Hope this helps!

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the graph on the bottom right