Respuesta :

Answer:

Below.

Step-by-step explanation:

When x = 0, y = 7

and when y = 0, x = 3.5.

So plot the 2 points (0, 7) and (3.5, 0) on the grid and draw a straight  line through these 2 points.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

How to graph a line?

To graph a line we follow the following steps:

  1. Find the y-intercept = b of the equation y = mx + b.
  2. Plot the y-intercept. The point will be (0, b).
  3. Plot the x intercept. The point  will be (x, 0).
  4. Connect those two points with your line.

According to the given question.

We have a equation of line

[tex]y = -2x+7[/tex]

The above equation of line is already in the slope intercept form.

So, the graph the line y = -2x + 7.

We first find the y intercept.

On comparing the above equation with y = mx + b, we get y = 7.

⇒ The point (0, 7) is our y intercept.

Therefore, we plot the y intercept or mark the point (0, 7) on graph.

Then we find the x intercept.

[tex]0 = -2x + 7[/tex]   ( substitute y = 0)

⇒[tex]x = \frac{7 }{2}[/tex]

⇒ ([tex]\frac{7}{2}[/tex], 0 ) is our x intercept.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

 

Find out more information about how to graph a line here:

https://brainly.com/question/27916124

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