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

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].
To graph a line we follow the following steps:
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:
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