write the equation of this line in slope - intercept form. write your answer using integers, proper…
write the equation of this line in slope - intercept form. write your answer using integers, proper fractions, and improper fract 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., ( (-8, 0) ) and ( (0, 4) ).
Slope ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 0}{0 - (-8)} = \frac{4}{8} = \frac{1}{2} ).
Step4: Write the equation
Substitute ( m = \frac{1}{2} ) and ( b = 4 ) into ( y = mx + b ):
( y = \frac{1}{2}x + 4 ).
Answer:
( y = \frac{1}{2}x + 4 )