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VashaNatasha [74]
3 years ago
13

What is the slope of the graph

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Use the formula

\frac{y2 - y1}{x2 - x1}

.

So it would be

.

\frac{4 - 1 }{2 - 0}

which equals 3/2

(btw. you can also count the blocks)

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−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br> ​
kvasek [131]

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 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  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

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 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0
3 years ago
Which of the following is not a pair of similar polygons?
Vlada [557]
All angled are congruent correct answer or at least the way is see wish u luck :)
7 0
3 years ago
Read 2 more answers
Type a digit that makes this statement true.<br><br> 17,421,55<br> is divisible by 6.
Anettt [7]

Answer:

<h2>290359.166667</h2>

Step-by-step explanation:

17,421,55/6=290359.166667

8 0
2 years ago
Read 2 more answers
What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end s
Mrrafil [7]

Answer:

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of \stackrel{\large{\frown}}{ADC}

The\ sum\ of\ angles\ in\ a\ circle\ is 360^{\circ}.

So, we have:

\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB}  + \stackrel{\large{\frown}}{BPC}  = 360^{\circ}

Where:

\stackrel{\large{\frown}}{APB}  = 70^{\circ}

\stackrel{\large{\frown}}{BPC}  = 104^{\circ}

Substitute these values in the above equation.

\stackrel{\large{\frown}}{ADC} + 70^{\circ}   +104^{\circ}   = 360^{\circ}

\stackrel{\large{\frown}}{ADC} + 174^{\circ}   = 360^{\circ}

Collect Like Terms:

\stackrel{\large{\frown}}{ADC}    = 360^{\circ} - 174^{\circ}

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

7 0
3 years ago
Read 2 more answers
I need help I don’t understand :(
sveticcg [70]

Answer:

.

Step-by-step explanation:

7 0
3 years ago
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