Answered

6. Describe why the following answer is incorrect and what the correct answer should be?
Write an equation in slope-intercept form whit the given information.
Goes through the points (1, -2) and (3, 6)

6. Describe why the following answer is incorrect and what the correct answer should be? Write an equation in slope-intercept form whit the given information. G class=

Answer :

absor201

Answer:

The equation in slope-intercept form is:

  • y=4x-6

Step-by-step explanation:

Given the points

  • (1, -2)
  • (3, 6)

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:6\right)[/tex]

m = (6-(-2)/(3-1) = 8/2 = 4

Thus, the slope is m = 4

MISTAKE AND CORRECTION

NOTE: HERE THE PERSON MADE A MISTAKE.

  • Because, his slope m=2, which is incorrect.
  • Thus, the person found the slope incorrectly.

The correct slope = m = 4

The slope-intercept form is

y=mx+b

Plug in (3, 6) and m=4 to find b

6 = 4·3 + b

6 = 12+b

6-12 = b

-6 = b

Plug in m=4 and b=-6 in the slope-intercept form

y=mx+b

y=4x+(-6)

y=4x-6

Thus, the equation in slope-intercept form is:

  • y=4x-6

   

Other Questions