Question

Fill in the blanks based on the steps to convert this equation into slope-intercept form: y - 3 = 53(x - 6)

Answer 1

To convert the equation y - 3 = 53(x - 6) into slope-intercept form, distribute 53, add 3 to both sides, and combine like terms to get y = 53x - 315, with the slope m = 53 and the y-intercept b = -315.

Step-by-step explanation:

The question asks how to convert the given equation y - 3 = 53(x - 6) into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Steps to Convert the Equation into Slope-Intercept Form

1. Distribute the 53 into the parentheses: y - 3 = 53x - 318.
2. Add 3 to both sides to get y by itself on one side of the equation: y = 53x - 318 + 3.
3. Combine like terms to find the y-intercept: y = 53x - 315. The equation is now in slope-intercept form, with the slope m = 53, and the y-intercept b = -315.

This process demonstrates how to isolate y and rearrange the equation into slope-intercept form, making it easy to identify the slope and y-intercept of a linear equation.