Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each system of equations to its graph.
y = 2x + 1
y = x + 2
y = 3x
y = x + 3
y = 2x − 2
y = x − 2
y = 2x + 3
y = x + 5
y = 4x + 2
y = 3x + 2

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#1 Line

Slope = 4.000/2.000 = 2.000

x-intercept = 1/-2 = -0.50000

y-intercept = 1/1 = 1.00000

#2 Slope = 2.000/2.000 = 1.000

x-intercept = 2/-1 = -2.00000

y-intercept = 2/1 = 2.00000

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

y-(2*x+1)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-2x-1 = 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-1 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

y-intercept = 1/1 = 1.00000

Calculate the X-Intercept :

When y = 0 the value of x is 1/-2 Our line therefore "cuts" the x axis at x=-0.50000

x-intercept = 1/-2 = -0.50000

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 1.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - 1.000 = 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 = 1/-2 = -0.50000

y-intercept = 1/1 = 1.00000

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

y-(x+2)=0

STEP

1

:

Equation of a Straight Line

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

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

y-intercept = 2/1 = 2.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/-1 Our line therefore "cuts" the x axis at x=-2.00000

x-intercept = 2/-1 = -2.00000

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 2.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 2.000 = 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 = 2/-1 = -2.00000

y-intercept = 2/1 = 2.00000

yes

step-by-step explanation: