Resolved: "Convet the following equation into slope intercept form.3x−5y=20"

Kason Palmer

Answered question

2022-03-28

Convet the following equation into slope intercept form.

3 x - 5 y = 20

Madilyn Shah

Beginner2022-03-29Added 11 answers

Step 1
Given equation is

3 x - 5 y = 20

Convert the equation into slope intercept form
Step 2
substract with 3x on both sides

3 x - 5 y - 3 x = 20 - 3 x

- 5 y = - 3 x + 20

multiply with minus on both sides

5 y = 3 x + 20

divide the equation with 5 on both sides

y = \frac{3}{5} x - \frac{20}{5}

y = \frac{3}{5} x - 4

thus thr equation in slope intercept form

y = m x + b

pypberissootcu

Beginner2022-03-30Added 14 answers

Step 1
The standart form of the equation mentioned in the problem is

3 \cdot x - 5 \cdot y = - 20

To rewrite in the slope-intercept form

3 \cdot x - 5 \cdot y - 3 \cdot x = - 3 \cdot x - 20

By subtraction property of equality

= 5 \cdot y = - 3 \cdot x - 20

By simplification

- \frac{1}{5} \cdot (- 5) \cdot y = - \frac{1}{5} \cdot (- 3) \cdot x - \frac{1}{5} \cdot (- 20)

By division property of equality

y = \frac{3}{5} \cdot x + 4

Slope-intercept form
Answer

y = \frac{3}{5} \cdot x + 4

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