Question

Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.

Answer 1

Answer: $y=8x-25$

Step-by-step explanation:

Given

Line passes through $(3,-1)\ \text{ and}\ (4,7)$

Equation of line when it passes through two points $(x_1,y_1),(x_2,y_2)$

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

Insert the values

$\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25$