To solve the slope of 3x + 2y = 8, the equation must first be put into slope intercept form with y on the left side and the remaining numbers on the right side. It can be transformed to 2y = -3x + 8, which will then be simplified down to y = -3/2x + 8. The slope of the line is -3/2.
These types of equations are most commonly used to find the slope and the y-intercept of a problem. To find these, the equation must always be transformed into slope intercept form. The slope of the line is always the number that is connected with x, while the y-intercept is always the number that is on its own in the equation.
In the 3x + 2y = 8 equation, 8 is the y-intercept. The y-intercept is the point of the slope or the line where the line goes through the y-axis. The line will always pass through the y-axis only once in these types of equations because the line is constantly evolving and growing. Slope intercept form is always written as y = mx + b. The slope of the line is always m.