Question

WILL MARK BRAINLIEST Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (6, 1) and (5, 4)

Answer 1

Answer:

3x + y = 19

Step-by-step explanation:

When writing the equation of a line, you first need to find the slope.

m = Slope = $\frac{Rise}{Run}$

Rise is the change in y-values, Run is the change in x - values

$Slope = \frac{4 - 1}{5 - 6}$

                = $\frac{3}{-1}$

                = -3

Next, use point-slope formula to create your equation

y - y1 = m(x - x1)

y - 4 = -3(x - 5)

y - 4 = -3x + 15

Then, rearrange your formula to standard form: Ax + By = C

y - 4 = -3x + 15

 + 4           + 4

 y    = -3x + 19

 + 3x   + 3x

3x + y = 19

Since the "A" value (3) is positive and the "A" (3) and "B" (1) values are both whole numbers, the equation is in proper standard form.

Check your work by plugging in the given points:

3(6) + (1) =  19

      19    =  19

3(5) + (4) = 19

      19     =  19