Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. the teacher then changed the line so it had a slope of 2, but still went through the same point. which equation should alejandra write to represent the new line?

The equation of new line is (y-3)=2(x-10).

Step-by-step explanation:

If a line passing through the point (x₁,y₁) with slope m, then the point slope form of the line is

It is given that Alejandra correctly wrote the equation

Here,

It means the slope of the line is 1 and the line passing through the point (10,3).

The teacher then changed the line so it had a slope of 2, but still went through the same point.

Now the slope of line is 2 and the line passing through the point (10,3). So the point slope form of the line is

Therefore the equation of new line is (y-3)=2(x-10).

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation:

where is the questions