How Do You Rewrite Linear Equations Into Slope-Intercept Form?
A linear equation is an equation that produces a line when graphed. The form y = mx + b is called the slope-intercept form of the equation because it tells you exactly what the slope (m) is and where the line crosses the Y axis (b). In the equation Y = 3x – 10, the slope is 3 and the line crosses the Y axis at -10. If your equation is in another form, a little algebra will rearrange the equation into slope-intercept form. Subtract the number on the left side of the equation to both sides if the number is positive. If it’s negative, add it to both sides instead. For example, if the point-slope equation is y + 4 = 3(x-2), then subtract 4 from both sides: y + 4 – 4 = 3(x-2) – 4 y = 3(x-2) – 4 Multiply the slope (the first number on the right side) by the x and the number in parentheses: y = 3(x-2) – 4 y = 3x – 6 – 4 Combine the numbers on the right side of the equation according to the sign between them: y = 3x – 10 This is the slope-intercept form of y + 4 = 3(x-2).
