What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)

Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

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-(5*(x+1))=0

STEP

1

:

Equation at the end of step 1

(y - 2) - 5 • (x + 1) = 0

STEP

2

:

Equation at the end of step 2

y - 5x - 7 = 0

STEP

3

:

Equation of a Straight Line

3.1 Solve y-5x-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 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-5x-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/-5 Our line therefore "cuts" the x axis at x=-1.40000

x-intercept = 7/-5 = -1.40000

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 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 10.000/2.000 = 5.000

Geometric figure: Straight Line

Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

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step-by-step explanation: