write the equation of this line in slope-intercept form.\nwrite your answer using integers, proper…
write the equation of this line in slope-intercept form.\nwrite your answer using integers, proper fractions, and improper fractions in simplest form
Answer
Explanation:
Step1: Identify slope-intercept form
Slope-intercept form is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Step2: Find the y-intercept (( b ))
The line crosses the y-axis at ( (0, -4) ), so ( b = -4 ).
Step3: Calculate the slope (( m ))
Use two points, e.g., ( (0, -4) ) and ( (1, -8) ). Slope ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-4)}{1 - 0} = \frac{-4}{1} = -4 ).
Step4: Write the equation
Substitute ( m = -4 ) and ( b = -4 ) into ( y = mx + b ): ( y = -4x - 4 ).
Answer:
( y = -4x - 4 )