An equation in slope-intercept form follows a specific format.
y= mx+b
For an equation in this form, m is the slope and b is the y-intercept. We are given six points, however, to write a linear equation we only need two. Let's choose the points that we will use.
(1,5) and (2,8)To calculate m, we will start by substituting the points into the Slope Formula.
A slope of 3 means that for every 1 horizontal step in the positive direction, we take 3 vertical steps in the positive direction. Now that we know the slope, we can write a partial version of the equation.
y= 3 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 ( 1, 5).
