Question

Write the equation of the line passing through the given points. Wite the equation in standard form Ax+By=C -4-4) and (-3,-3) The equation of the line is 1 (Simplify your answer. Use integers of fractions for any numbers in the equation) Enter your answer in the answer box and then click Check Answer All parts showing Type here to search

Answer 1

Answer:  The required equation of the line is $x-y=0.$

Step-by-step explanation:  We are given to to find the equation of a straight line in the standard form Ax + By = C passing through the points (-4, -4) and (-3, -3).

We know that the slope of a line passing through the points (a, b) and (c. d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line will be

$m=\dfrac{-3+4}{-3+4}=\dfrac{1}{1}=1.$

Since the line passes through the point (-3, -3), so its equation will be

$y-(-3)=m(x-(-3))\\\\\Rightarrow y+3=1(x+3)\\\\\Rightarrow y+3=x+3\\\\\Rightarrow y=x\\\\\Rightarrow x-y=0.$

Thus, the required equation of the line is $x-y=0.$