Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

$\frac{y-1}{x-4}=\frac{3-1}{5-4}$

$\frac{y-1}{x-4}=\frac{2}{1}$

$(y-1)=2(x-4)$

$y-1=2x-8$

subtracting y and adding 8 on both sides we get

$2x-y=7$

Hence this is our equation of the line passing through (5,3) & (4,1)

7 0

3 years ago

A teacher took a group of 38 students to the movie theater. They have saved $247 in a fund for the students's tickets. How much

Vika [28.1K]

Answer:

$19

Step-by-step explanation:

you do 6 times 38 and then you do 247 minus 228 and get your answer of 19

6 0

3 years ago

Simplify the following expression:$$(\sqrt{6} + \sqrt{24})^2$$

tresset_1 [31]

Answer:

Step-by-step explanation:

$(\sqrt{6} + \sqrt{24})^2=(\sqrt{6}+2\sqrt{6})^2\\\\=(3\sqrt{6})^2=(3^2)(6)=\boxed{54}$

4 0

3 years ago