Answer:
Option D is correct
[tex]y-3=2(x-10)[/tex]
Step-by-step explanation:
Using point slope form:
The equation of line is given by:
[tex]y-y_1=m(x-x_1)[/tex] .....[1] where m, is the slope and [tex](x_1, y_1)[/tex] is the point on the line
As per the statement:
Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched.
The line passes through the point i.,e (10, 3)
Since, the teacher then changed the line so it had a slope of 2, but still went through the same point.
⇒ slope(m) = 2
Substitute these in [1] we have;
[tex]y-3=2(x-10)[/tex]
Therefore, an equation should Alejandra write to represent the new line is,
[tex]y-3=2(x-10)[/tex]
