Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Typeyour answer in the box provided to submit your solution.(7,-3) and (4, -8)

Answer 1

Given the points below,

`\begin{gathered} (x_1,y_1)=(7,-3) \\ (x_2,y_2)=(4,-8) \end{gathered}`

The formula to find the equation of a straight line is given below as,

`(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Substituting the variables into the formula of a straight line above,

`\begin{gathered} (y-(-3))/(x-7)=(-8-(-3))/(4-7) \\ (y+3)/(x-7)=(-8+3)/(-3) \\ (y+3)/(x-7)=(-5)/(-3)=(5)/(3) \\ (y+3)/(x-7)=(5)/(3) \\ \text{Crossmultiply} \\ 3(y+3)=5(x-7) \\ 3y+9=5x-35 \\ 5x-3y=35+9 \\ 5x-3y=44 \end{gathered}`

The standard form of a straight is given as Ax + By = C

Hence, the answer is 5x -3y = 44