[tex]\boxed{y=2x+1}[/tex]
Explanation:
An equation tells us that two things are equal. That's the reason we always use the symbol = in equations. So we put one thing to the left of the symbol and the other thing to the right. In this case, we have a condition:
- The equation has one solution which is the point (1, 3).
So let's choose a line as our equation. The Slope-intercept form of the equation of the line is:
[tex]y=mx+b \\ \\ For \ x=1 \ and \ y=3 \ we \ have: \\ \\ 3=m(1)+b \\ \\ 3=m+b[/tex]
Where:
[tex]m:Slope \ of \ the \ line \\ \\ b:y-intercept[/tex]
Since we have one equation with two unknown variables, let's say the slope equals 2, so:
[tex]m=2 \\ \\ Substituting \ in \ the \ equation: \\ \\ 2+b=3 \\ \\ b=3-2 \\ \\ b=1[/tex]
So our equation is:
[tex]\boxed{y=2x+1}[/tex]
As you can see in the figure below, this line passes through (1, 3)
Learn more:
Perpendicular lines: https://brainly.com/question/4192440
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