What is the slope of the line y=-3X+7

-3.000

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+7)=0

STEP1:

Equation of a Straight Line

1.1 Solve y+3x-7  = 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 the 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+3x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/3 Our line therefore "cuts" the x-axis at x= 2.33333

 x-intercept = 7/3  =  2.33333

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 7.000 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 - 7.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -6.000/2.000 = -3.000

Geometric figure: Straight Line

Slope = -6.000/2.000 = -3.000

x-intercept = 7/3 = 2.33333

y-intercept = 7/1 = 7.00000

Hope this helps!

Brain-List?

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