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Give the coordinates for the image of R (0, -5) E (4, -3) C (6, -5) T (2, -7) when it is reflected across the line y = x.
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0x + y = 1 is the standard form of (3, 1) with m = 0
<u>Solution:</u>
We have been given a point and slope of an equation and have been asked to write it in the standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
The given point is (3,1) and the slope is 0
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
The point slope form of line is given as:
Where "m" is the slope of the line
Here in this problem,
y - 1 = 0(x - 3)
y - 1 = 0
y = 1
since the above equation doesn’t have an ‘x’ term we convert into a standard form as follows:
0x + y = 1
This is the standard form for the given point and slope of a line.