Answer:
Here we have the linear equation:
y - 5 = -2*(x + 7)
First, we need to isolate the variable y in one side of the equation, so it is easier to handle:
y = -2(x + 7) + 5
Now we need to find two points that belong to this line.
To do it, we can just replace the x-value by two different values, and find the correspondent y-value for each.
For example, if we replace x by 0 we get:
y = -2*(0 + 7) + 5 = -2*7 + 5 = -14 + 5 = -9
Then we have the point (0, - 9)
Now we can use x = 1
y = -2*(1+7) + 5 = -2*8 + 5 = -16 + 5 = -11
We have the point (1, - 11)
Now you just need to draw these two points, and draw a line that connects them.
That line is the graph of the linear equation, you can see an example of this in the graph below.
