Which is the graph of the system of inequalities y > 4/5 x – 1/5 and y < 2x + 6

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer: The coefficient of x tells you the slope.

The constant tells you the y-intercept.

Step-by-step explanation: see the attachment

sashaice [31]3 years ago

7 0

Step-by-step explanation:

firstly in equation y= 2x+6 suppose the value of y as zero and find the value of x. again suppose the value of x as 0 and find the value of y. Do the same for other equation as well and you get two values of X and y.

Also find the slope of each equation by the formula :

slope= - coefficient of x / coefficient of y. and solve by plotting the points according to the slope.

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To draw the graph of linear equation of the form

y-a=m (x-b)

We will first write it in slope intercept form which is of the form

$\frac{x}{a}+\frac{y}{b}=1\\\\\rightarrow y-2=3 \times (x-1)\\\\\rightarrow y-2=3 x-3\\\\\rightarrow 3 x-y=3-2\\\\\rightarrow 3 x-y=1\\\\\rightarrow \frac{x}{\frac{1}{3}}+\frac{y}{-1}=1$

It will cut x axis and y axis at , $(\frac{1}{3},0) \text{and} (0,1)$ respectively.

As Euclid postulate States that, Unique equation of line can be Determined by two points,So join these two points.And Infinite number of points lie on a line.

Graph B