Shading with slope-intercept form
Master Shading with slope-intercept form in Grade 10 math. When an inequality is in slope-intercept form (), you can shade by looking at the inequality sign. S.
Key Concepts
When an inequality is in slope intercept form ($y < mx + b$), you can shade by looking at the inequality sign. Shade above the line for $ $ and $\geq$, and shade below the line for $<$ and $\leq$.
For $y < \frac{1}{5}x + 4$, the symbol is $<$, so you shade below the dashed boundary line. For $ 2y < 10x 2$, first solve for $y$: $y 5x + 1$. The symbol is $ $, so shade above the dashed boundary line.
This is a super fast shortcut! Once your inequality is solved for $y$, the sign tells you everything. 'Greater than' ($ $ or $\geq$) means you want the bigger $y$ values, so you shade 'up' or above the line. 'Less than' ($<$ or $\leq$) means you want the smaller $y$ values, so you shade 'down' or below it.
Common Questions
What is Shading with slope-intercept form?
When an inequality is in slope-intercept form (), you can shade by looking at the inequality sign. Shade above the line for and , and shade below the line for and . Think of graphing inequalities like a video game! The line is a boundary, and you need to figure out which side is the 'winning'...
How do you apply Shading with slope-intercept form in practice?
For , the symbol is , so you shade below the dashed boundary line. For , first solve for : . The symbol is , so shade above the dashed boundary line.
Why is Shading with slope-intercept form important for Grade 10 students?
Ever wonder how your phone's GPS finds the shortest route? It uses the Pythagorean Theorem! This is a special rule for right-angled triangles that lets you find a missing side length when you know the other two. The rule is super famous: . a and b are the two shorter sides that form the right...