Complete the slope-intercept form of the linear equation that represents the relationship in the table

To complete the slope-intercept form of the linear equation ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept, we need to determine the values of ( m ) and ( b ) from the data in the table.

1. Find the slope (m): Choose two points from the table, say ( (x_1, y_1) ) and ( (x_2, y_2) ). The formula for slope is:

[

m = frac{y_2 – y_1}{x_2 – x_1}

]

2. Find the y-intercept (b): Once you have the slope, use one of the points in the form of the equation ( y = mx + b ) to solve for ( b ).

Once you substitute the values for ( m ) and ( b ) into the equation, you’ll have the complete slope-intercept form.

If you provide the specific values from the table, I can help you calculate it directly!