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 can calculate the slope by substituting two points from the given table into the Slope Formula. Let's choose the points (-2,4) and (0,5).
A slope of 12 means that for every 2 horizontal steps in the positive direction, we take 1 vertical step in the negative 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 ( 0, 5).
