Hwan decides to lose weight before the wrestling season begins. He weighs 148 pounds now and loses one pound per week for six weeks. Let y represent Hwan’s weight and let x represent the time in weeks. What is the slope of the line?
What is the y intercept
y = -x + 148
compare with y = mx + b
where m is the slope and b is the y-intercept
Wait so the slope is -x and y intercept is 148?
not quite.
the slope is m, so the m part of y = -x + 148 is -1
so the slope is -1
(which is what the question stated directly)
To find the slope of the line, we need to determine how the weight changes over time. In this case, Hwan is losing one pound per week.
The slope of a line represents how the y variable (in this case, weight) changes with respect to the x variable (in this case, time). Since Hwan is losing one pound per week, the slope is -1, meaning that for every increase in weeks, his weight decreases by one pound.
Now let's find the y-intercept. The y-intercept is the value of the y variable when x is equal to zero. In this case, when Hwan hasn't started losing weight yet, his weight is 148 pounds. Therefore, the y-intercept is 148.
Hence, the slope of the line is -1, and the y-intercept is 148.