Start by graphing the line, then use the Slope Formula to find its slope.
Equation: y=1/2x+8 Graph:
Practice makes perfect
First let's graph the given points and connect them with a line.
Now we will write the equation in slope-intercept form.
y= mx+b
For an equation in this form, m is the slope and b is the y-intercept.
Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
A slope of 12 means that for every 2 horizontal steps in the positive direction, we take 1 vertical step in the positive direction. Now that we know the slope, we can write a partial version of the equation.
y= 1/2 x+b
To complete the equation, we also need to determine the y-intercept b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation to solve for b. Let's use ( 2, 9).
