First, use the given points to calculate the slope. Then, identify the y-intercept.
See solution.
Practice makes perfect
We are given an graph that represents the cost y in dollars to open an online gaming account and buy x games.
To find the slope of the line, we need to choose two points on it. Let's start by substituting the points (0,15) and (9,105) into the slope formula to calculate m.
We calculated that the slope of the given line is 10. Now let's calculate the y-intercept. Remember that the y-intercept is the y-value where the line crosses the y-axis.
We can see that the function intercepts the y-axis at (0, 15). This means that the value of b is 15. Now, remember that 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. Since we know the slope and the y-intercept, we can complete the equation.
y= 10x+ 15
We can use our equation to determine the total cost of opening an account and buying 6 games. Since x represents the number of games, let's substitute x= 6 into the equation to calculate the total cost.
