Question

Consider the following equation. Graph 5x + 6y = 30 PLEASE SHOW STEPS

Answer 1

Answer:

Step-by-step explanation:

Convert the equation into slope-intercept form.

5x-6y =30           Subtract 5x from each side

-6y = -5x + 30     Multiply each term by -1

6y = 5x – 30       Divide each side by 6

y = ⅚x - 5

2. Create a table of different x and y values,

x        ⅚x – 5        y  

-12      ⅚(-12) – 5     -15  

-6      ⅚(-6) – 5       -10

0       ⅚(0) – 5         -5

6       ⅚(6) – 5          0

12        ⅚(12) – 5        5

3. Convert the table to ordered pairs

(-12,-15)

(-6, -10)

(0, -5)

(6, 0)

(12, -5)

4. Plot the points and draw a line through them.