y= mx+bFor 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 - 27 means that for every 7 horizontal steps in the positive direction, we take 2 vertical steps in the negative direction. Now that we know the slope, we can write a partial version of the equation.
y= - 2/7 x+b
To complete the equation we also need to substitute the y-intercept, b. We can see that one of our given points, (0,- 2), lies on the y-axis. Since the line crosses the y-axis at this point, we know the y-intercept and can complete the equation.
y= - 2/7x- 2
b
We want to determine whether the given point also lies on the line m. To do so, we will substitute x- and y-coordinates of the point into the equation of the line.
As we can see, the substitution resulted in true statement, so the given point satisfies the equation of the line. It means that the point (49, - 16) lies on the line m.
