Question

Graph the line below:
y = -2x + 7

Answer 1

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.

Answer 2

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

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

$y = -2x+7$

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.

$0 = -2x + 7$   ( substitute y = 0)

⇒$x = \frac{7 }{2}$

⇒ ($\frac{7}{2}$, 0 ) is our x intercept.

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

 

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

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