Question

Write the equation in slope-intercept form
8x + 2y = 10​

Answer 1

Answer: y = -4x + 5

Explanation:

In order to convert this equation to slope-intercept, we will first remember that:

`\textsf{Slope-intercept form is}\;\;\; \boxed{\textsf{y = mx + b}}`

`\textsf{where}\phantom{12}\textbf{m is the slope and b is the y-intercept}`

Given equation:

`\textsf{8x + 2y = 10}`

Subtract 8x from both sides.

`\textsf{2y = -8y + 10}`

Divide both sides by 2.

`\textsf{y = -4y + 5}`

Answer 2

• y = -4x + 5

In-depth explanation:

Hi! The question is asking us to write the equation in slope-intercept form.

Slope-intercept form is:

• 
  `\bf{y=mx+b}`

Where:

• m = slope
• b = y-intercept

First, subtract 8x from each side:

`\bf{8x+2y=10}`

`\bf{2y=10-8x}`

Next, divide each side by 2:

`\bf{y=5-4x}`

`\bf{y=-4x+5}`

∴ Equation: y = -4x + 5.