Question

Convert the given linear equation from standard form to slope-intercept form using a calculator. If the equation is Ax + By = C , provide the complete conversion, including the slope m and y-intercept b in the form y = mx + b.

Answer 1

To convert a linear equation from standard form to slope-intercept form, isolate the y-variable, divide by the coefficient of the y-variable, and arrange in the form y = mx + b.

Step-by-step explanation:

To convert a linear equation from standard form to slope-intercept form, you can follow these steps:

1. Isolate the y-variable on one side of the equation.
2. Divide both sides of the equation by the coefficient of the y-variable to make it equal to 1.
3. Arrange the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.

For example, if the equation is 2x - 3y = 6, you can start by isolating the y-variable as follows:

-3y = -2x + 6

Next, divide both sides of the equation by -3 to make the coefficient of the y-variable equal to 1:

y = (2/3) x - 2

Now, the equation is in slope-intercept form, with a slope of 2/3 and a y-intercept of -2. So, the final conversion is y = (2/3) x - 2.