question\nwrite the equation of the line in fully simplified slope-intercept form.
question\nwrite the equation of the line in fully simplified slope-intercept form.
Answer
Explanation:
Step1: Identify slope and intercept
Slope-intercept form: ( y = mx + b ), where ( b ) is y-intercept. From graph, line crosses y-axis at ( (0, 6) ), so ( b = 6 ). To find slope ( m ), use two points: ( (0, 6) ) and ( (2, 2) ). Slope formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{2 - 0} = \frac{-4}{2} = -2 ).
Step2: Write the equation
Substitute ( m = -2 ) and ( b = 6 ) into ( y = mx + b ): ( y = -2x + 6 ).
Answer:
( y = -2x + 6 )