Complete the slope-intercept form of the linear equation that represents the relationship in the table.
y = ___ x + (___)
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
y = ___ x + (___)
To complete the slope-intercept form (y = mx + b) of the linear equation based on a table, you need to identify the slope (m) and the y-intercept (b).
1. Calculate the slope (m): The slope is calculated using two points from the table. If you have two points (x₁, y₁) and (x₂, y₂), the formula for the slope is:
[
m = frac{y₂ – y₁}{x₂ – x₁}
]
2. Determine the y-intercept (b): Once you have the slope, you can use one of the points in the equation to solve for b. Substitute x and y in the slope-intercept form and solve for b:
[
b = y – mx
]
If you provide the specific data points from the table, I can help you compute the values! Remember, the slope-intercept form will ultimately look like “y = mx + b.”