Respuesta :

y=mx+b
5= -1(3) + b

5= -3 + b
So be equals 8

The line is y= -1x + 8
Ver imagen Аноним

The graph of the line y = -x + 8 is as shown below.

What is the slope-point form of equation of the line?

"The equation of the line having slope m and passing through (p, q) is,

(y - q) = m(x - p)."

What is the graph of a function?

"It is a set of all points of the form (x, f(x))"

For given example,

We have been given the slope of the line.

m =  -1

And the line passes through the point (3,5)

Let (p, q) = (3, 5)

Using the slope-point form the equation of the line would be,

⇒ (y - q) = m(x - p)

⇒ (y - 5) = (-1) × (x - 3)

⇒ y - 5 = -x + 3

⇒ y = -x + 8

So, the equation of the line is y = -x + 8

Now, to plot the graph of the line, first we find the coordinates of the points.

For x = 0,

⇒ y = -(0) + 8

⇒ y = 8

For x = 1

⇒ y = -1 + 8

⇒ y = 7

For x = -2

⇒ y = -(-2) + 8

⇒ y = 2 + 8

⇒ y = 10

So, the coordinates of the points are (0, 8), (1, 7), (-2, 10)

Now, we plot these points on the coordinate plane and draw a line passing through these points.

The graph of the line y = -x + 8 is as shown below.

Learn more about the slope-point form of the line here:

https://brainly.com/question/24436844

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Ver imagen PratikshaS