Question

Find the equation of the line that passes through the points (12,21) and (46,33). V.35r-162

Answer 1

Answer:

the answer is Y=(6/17)X + (285/17)

Step-by-step explanation:

1. Identify the X and Y coordinate of each point.            

for example, the first point could be (12,21), therefore X1 = 12 and Y1 = 21 and the second point is then (46,33), therefore X2 = 46 and Y2 = 33

2. to find the equation of the line it is necessary to find the slope.

knowing that the equiation of the slope is M = Y2-Y1/X2-X1 we replace

  $m=\frac{33-21}{46-12}=\frac{12}{34}$ and then we simplify the result to $\frac{12}{34}$

3. Using the Point-slope equation which is  Y-Y1=M(X-X1) we replace

 $Y-33=\frac{6}{17}(X-46)$

$Y=\frac{6}{17}X-\frac{276}{17}+33$

$Y=\frac{6}{17}X+\frac{285}{17}$