The slope-intercept form of a linear function, $y=m x+b$, can be used to create a graph of that function.
$y=x-7$
Step 1: Mark the point where the line will cross the $y$-axis $(b=-7)$.
Step 2: From the point which crosses the $y$-axis, use the slope $(m)$ to find other points on both sides. Remember that slope is found by $\frac{\text { change } i n y}{\text { change } i n x}$. This is also known as $\frac{\text { rise }}{r u n}$, or how much the line rises along the $y$-axis and how much it runs, or moves, along the $x$-axis.
Step 3: Draw a line that goes directly through the points found.
Draw each linear function:
- $y=4 x-6$
- $y=-2 x+5$
- $y=\frac{2}{5} x-3$
- $y=3 x-1$
$y=x-7$
Step 1: Mark the point where the line will cross the $y$-axis $(b=-7)$.
Step 2: From the point which crosses the $y$-axis, use the slope $(m)$ to find other points on both sides. Remember that slope is found by $\frac{\text { change } i n y}{\text { change } i n x}$. This is also known as $\frac{\text { rise }}{r u n}$, or how much the line rises along the $y$-axis and how much it runs, or moves, along the $x$-axis.
Step 3: Draw a line that goes directly through the points found.
Draw each linear function: