Question

Graph line y=-2x+5 with no x

Answer 1

Answer:

Step by Step Solution

Rearrange:

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

y-(-2*x+5)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y+2x-5 = 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 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+2x-5 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000

x-intercept = 5/2 = 2.50000

Calculate the Slope :

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 5.000 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 - 5.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

Geometric figure: Straight Line

Slope = -4.000/2.000 = -2.000

x-intercept = 5/2 = 2.50000

y-intercept = 5/1 = 5.00000