Question

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and parallel to y = 1/3x + 5

Answer 1

Final Answer: $y = \frac{1}{3}x + 4$

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line ($\frac{1}{3}$ in this case) into the slope-intercept equation.

$y = \frac{1}{3}x + b$

Step 2: Substitute the given point $(-3, 3)$ into the x and y values.

$y = \frac{1}{3}x + b$

$3 = \frac{1}{3}(-3) + b$

Step 3: Solve for b (the y-intercept).

$3 = \frac{1}{3}(-3) + b$

$3 = -1 + b$

$+1$ = $+1$ $+$ $b$

$4 = b$

Step 4: Substitute this value for b in the slope-intercept form equation.

$y = \frac{1}{3}x + 4$

~I hope I helped you :)~

Answer 2

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

y - (3) = 1/3 (x -(-3))

y - 3 = 1/3 (x + 3)

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

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then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

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