How do you change standardform in to slop intercept form?

Answer 1

The standard form of the equation of a line is written as: Ax + By = C, where A, B, and C are real numbers, and A and B are not both 0.

When we want to graph an equation that is written in general form, we can solve the equation for y and write the equation in slope-intercept form.

Example: Transform the equation 2x + 4y = 8 into its slope-intercept form, and graph the equation.

Solution:

2x + 4y = 8 subtract 2x to both sides;

4y = - 2x + 8 divide by 4 to both sides;

y = - (1/2)x + 2 This is the slope-intercept form (y = mx + b) of the equation 2x + 4y = 8.

The coefficient of x, -(1/2), is the slope, and the y-intercept is 2. Now we are able to graph the line using the fact that the y-intercept is 2, and the slope is -(1/2).

Start at the point (0, 2), go to the right 2 units and then down 1 unit (since the slope is -(1/2))to the point (2, 1). Then draw the line that passes through the points (0, 2) and (2, 1).