Question

Question 5 (4 points) (05.02) A line passes through (28) and (4, 12). Which equation best represents the line? (4 points) Oa y= 2x=6 Ob y=*-7 Ос 1 y=2x-10​

Answer 1

Answer:

$y = 2x + 4$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,8)$

$(x_2,y_2) = (4,12)$

Required

Determine the line equation

This will be solved using linear interpolation as follows:

$\frac{y - y_1}{x - x_1} =\frac{y_2 - y_1}{x _2- x_1}$

Where:

$(x_1,y_1) = (2,8)$

$(x_2,y_2) = (4,12)$

So, we have:

$\frac{y - 8}{x - 2} =\frac{12 - 8}{4-2}$

$\frac{y - 8}{x - 2} =\frac{4}{2}$

$\frac{y - 8}{x - 2} =2$

Cross Multiply:

$y - 8 = 2(x - 2)$

Open bracket

$y - 8 = 2x - 4$

Make y the subject

$y = 2x - 4+8$

$y = 2x + 4$