write the equation of the line in fully simplified slope-intercept form.\nanswer attempt 1 out of 2

Explanation:

Step1: Identify slope-intercept form

Slope-intercept form is ( y = mx + b ), where ( m ) is slope and ( b ) is y-intercept.

Step2: Find the y-intercept (( b ))

The line crosses the y-axis at ( (0, -6) ), so ( b = -6 ).

Step3: Calculate the slope (( m ))

Use two points, e.g., ( (0, -6) ) and ( (6, 0) ). Slope ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-6)}{6 - 0} = \frac{6}{6} = 1 ).

Step4: Write the equation

Substitute ( m = 1 ) and ( b = -6 ) into ( y = mx + b ): ( y = x - 6 ).

Answer:

( y = x - 6 )