Based on the analysis of all four graphs, here are the slopes and y-intercepts for each line:
Graph 1 (Top Left - Green Line)
-
y-intercept: The line crosses the y-axis at (0, -2), so the y-intercept is
-2.
-
Slope: Using points (0, -2) and (5, 5), the slope is calculated as (5 - (-2)) / (5 - 0) = 7/5 =
1.4.
Graph 2 (Top Right - Purple Line)
-
y-intercept: The line crosses the y-axis at (0, -6), so the y-intercept is
-6.
-
Slope: Using points (0, -6) and (10, -4), the slope is calculated as (-4 - (-6)) / (10 - 0) = 2/10 =
0.2.
Graph 3 (Bottom Left - Red Line)
-
y-intercept: The line crosses the y-axis at (0, -3), so the y-intercept is
-3.
-
Slope: Using points (0, -3) and (5, 0), the slope is calculated as (0 - (-3)) / (5 - 0) = 3/5 =
0.6.
Graph 4 (Bottom Right - Blue Line)
-
y-intercept: The line crosses the y-axis at (0, 4), so the y-intercept is
4.
-
Slope: Using points (0, 4) and (8, 0), the slope is calculated as (0 - 4) / (8 - 0) = -4/8 =
-0.5.
These values represent the slope and y-intercept for each of the four linear equations graphed in the image.
Parent Tip: Review the logic above to help your child master the concept of y intercept worksheet.
