Answer:
The y-intercept is 1/3.
Step-by-step explanation:
The equation given is in slope-intercept form. Recall that in slope-intercept form:
<em>m </em>is the slope while <em>b</em> is the y-intercept.
Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.
Answer:
2. The y-intercept is 33 ft. The ball is 33 feet away from the wall.
3. It will take the ball 11 seconds to touch the wall.
4. The slope is -3 ft. The ball is rolling toward the wall at 3 ft per second
Step-by-step explanation:
Let x be the number of seconds.
We are told that a ball is rolling at a rate of 3 ft per second toward a wall that is 33 feet away.
Since the ball is rolling towards wall at a rate of 3 ft per second. This means that remaining distance between wall and ball is decreasing 3 ft with each passing second. Hence, the slope of our line will be negative 3 ft.
As initially ball was 33 feet away from wall, so our y-intercept will be 33.
Upon substituting our values in slope-intercept form of equation we will get equation of our line representing remaining distance between ball and wall after x seconds as:
Let us find the number of seconds that ball will take to touch the wall by finding the x-intercept of our line. Since x-intercept is the point when line crosses x-axis and at this point y equals 0. The x-Intercept of a line is obtained by putting the value of y as zero in the equation of a line.
Therefore, after 11 seconds ball will touch the wall.
Upon looking at our choices we can see that 2nd, 3rd and 4th options are correct choices.