Question

Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.

Answer 1

Gradient= y1-y2/x1-x2
=(10-6)/(4-3)=4
y=4x+c
6=4(3)+c
c=-6
equation is D

Answer 2

Answer:

Option D -  $y=4x-6$

Step-by-step explanation:

Given : The line that passes through the points (3, 6) and (4, 10).

To find : Write the equation of the line that passes through the points?

Solution :

We use the two point slope form given by,

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

We have given,

$(x_1,y_1)=(3,6)\\(x_2,y_2)=(4,10)$

Substitute the value in the formula,

$(y-6)=(\frac{10-6}{4-3})(x-3)$

$(y-6)=(\frac{4}{1})(x-3)$

$(y-6)=4(x-3)$

$y-6=4x-12$

$y=4x-12+6$

$y=4x-6$

Therefore, The equation form is $y=4x-6$

So, Option D is correct.