Final Answer:
The graphs are straight lines drawn using the slope-intercept form $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. For each equation:
1) $ y = -2x + 4 $: Start at (0, 4), go down 2, right 1.
2) $ y = x + 2 $: Start at (0, 2), go up 1, right 1.
3) $ y = -4x - 1 $: Start at (0, −1), go down 4, right 1.
4) $ y = 2x - 3 $: Start at (0, −3), go up 2, right 1.
5) $ y = 6x - 3 $: Start at (0, −3), go up 6, right 1.
6) $ y = -2x - 5 $: Start at (0, −5), go down 2, right 1.
Each line is uniquely determined by its y-intercept and slope, and should be sketched accordingly on the provided grids.
Parent Tip: Review the logic above to help your child master the concept of writing linear equations in slope intercept form worksheet pdf.