Answer:
y - 2 = 2(x - 3).
Step-by-step explanation:
The point -slope form of a line is:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
Here m = 2, x1 = 3 and y1 = 2. So we have the equation:
y - 2 = 2(x - 3).
Answer:
[tex]y=2x-4[/tex]
Step-by-step explanation:
Given: The line passes through (3, 2) and has a slope of 2.
To find: Point slope form of the equation.
Solution: We know that the point slope form of the line passing through [tex]\left ( x_{1},y_{1}\right )[/tex] and slope m is [tex]y-y_{1}=m\left ( x-x_{1} \right )[/tex]
Here, [tex]x_{1}=3,\ y_{1}=2, \text{and} \:\:m=2[/tex]
So we have,
[tex]y-2=2(x-3)[/tex]
[tex]y-2=2x-6[/tex]
[tex]y=2x-4[/tex]
Hence, the point slope form of the line is [tex]y=2x-4[/tex].
