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3 years ago

What is the slope of the line y=-2x+3

Mathematics

2 answers:

I am Lyosha [343]3 years ago

5 0

The slope of the line is -2 because according to y=mx+b the m represents the slope

wariber [46]3 years ago

3 0

Answer: The slope is -2

Step-by-step explanation:

It is important to remember that the equation of the line in Slope-Intercept form is the following:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case you can observe that the given equation of the line $y=-2x+3$ is written in Slope-Intercept form.

Therefore, you can identify that the slope "m" is:

$m=-2$

And the y-intercept "b" is:

$b=3$

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3 years ago

Which expression could be substituted for y in the second equation to find the value of x?

EastWind [94]

value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

$2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)$

For putting value of y in second equation, we will find from equation 1

From equation 1:

$2x-y=-10\\-y=-10-2x\\y=10+2x$

Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

Learn more about System of equations at:

#learnwithBrainly

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