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

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.