write the equation of the line in fully simplified slope-intercept form.\nanswer attempt 1 out of 3\nanswer:

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, 7) ), so ( b = 7 ).

Step3: Calculate the slope (( m ))

Use two points, e.g., ( (0, 7) ) and ( (5, 2) ).
Slope ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 7}{5 - 0} = \frac{-5}{5} = -1 ).

Step4: Write the equation

Substitute ( m = -1 ) and ( b = 7 ) into ( y = mx + b ):
( y = -x + 7 ).

Answer:

( y = -x + 7 )