Instructions: Translate from one form to another. Standard Form: 5x+2y=125𝑥+2𝑦=12Slope-Intercept Form:
Question
Instructions: Translate from one form to another. Standard Form: 5x+2y=125𝑥+2𝑦=12Slope-Intercept Form:
Solution
The standard form of a linear equation is Ax + By = C, while the slope-intercept form is y = mx + b. To convert from standard form to slope-intercept form, you need to solve the equation for y.
Given the standard form equation 5x + 2y = 125, let's solve for y:
Step 1: Subtract 5x from both sides of the equation: 2y = -5x + 125
Step 2: Divide every term by 2 to solve for y: y = -5/2x + 125/2
So, the slope-intercept form of the equation 5x + 2y = 125 is y = -5/2x + 62.5.
Similar Questions
Instructions: Translate from one form to another. Slope-Intercept Form: y=−2x+5𝑦=−2𝑥+5Standard Form: CheckQuestion 6
2y=x general form
For the equation:𝑦=3𝑥−4The coordinates of the 𝑦-intercept are
y=3x−2𝑦=3𝑥-2 y=2x−5𝑦=2𝑥-5
Instructions: Find the intercepts of the following equation in Standard Form.Equation: x−2y=−2𝑥−2𝑦=−2x𝑥-Intercept: (( ,, ))y𝑦-Intercept: (( ,, )
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.