write the equation of the line in fully simplified slope-intercept form.\nanswer\nattempt 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 y-intercept (( b ))

The line crosses y-axis at ( (0, -5) ), so ( b = -5 ).

Step3: Calculate slope (( m ))

Use two points, e.g., ( (0, -5) ) and ( (4, 1) ). Slope ( m = \frac{1 - (-5)}{4 - 0} = \frac{6}{4} = \frac{3}{2} ).

Step4: Write equation

Substitute ( m = \frac{3}{2} ) and ( b = -5 ) into ( y = mx + b ): ( y = \frac{3}{2}x - 5 ).

Answer:

( y = \frac{3}{2}x - 5 )