whats the slope for y=−3x+2
The slope of a linear equation in the form y = mx + b is represented by the coefficient of x, which is m.
In the equation y = -3x + 2, the slope (m) is -3.
which one of these match this equation
Cynthia has $200 in her savings account and spends $3 per day on coffee. or James increases his muscle mass by 3 kg per day.
The equation y = -3x + 2 represents the relationship between the variables y and x, where y represents the value of something and x represents the number of a specific time or quantity.
Out of the given options, the equation "James increases his muscle mass by 3 kg per day" does not match the equation y = -3x + 2.
so its Cynthia has $200 in her savings account and spends $3 per day on coffee.
Yes, the equation y = -3x + 2 matches the scenario "Cynthia has $200 in her savings account and spends $3 per day on coffee". In this equation, y represents the amount of money remaining in Cynthia's savings account after x days, and the slope (-3) represents the rate at which her savings decrease by $3 per day. The constant term (2) represents her initial savings of $200.
The equation of Line 1: 2x−4y=16
The equation of Line 2: y=−34x−3
The equation of Line 3: y−5=−2(x+1)
Which statement is true?
(2 points)
Responses
Line 3 has the least steep slope.
Line 2 has an increasing graph.
Line 1 has the steepest slope.
Line 1 has the biggest y-intercept.
Line 2 has the biggest y-intercept.
Line 3 has a decreasing graph.
To determine which statement is true, we'll analyze the given equations:
Line 1: 2x - 4y = 16
Rearranging this equation in slope-intercept form (y = mx + b), we get:
-4y = -2x + 16
y = (1/2)x - 4
The slope of Line 1 is 1/2, so it does not have the steepest slope.
Line 2: y = -34x - 3
The slope of Line 2 is -34. However, since it's negative, Line 2 has a decreasing graph.
Line 3: y - 5 = -2(x + 1)
y - 5 = -2x - 2
y = -2x + 3
The slope of Line 3 is -2.
Comparing the slopes of the three lines, we find that Line 2 (-34) has the least steep slope.
Comparing the y-intercepts:
Line 1 is in the form y = (1/2)x - 4, so its y-intercept is -4.
Line 2 is in the form y = -34x - 3, so its y-intercept is -3.
Line 3 is in the form y = -2x + 3, so its y-intercept is 3.
Therefore, Line 3 has the biggest y-intercept.
In summary, the true statement is:
Line 3 has the biggest y-intercept.
The equation of Line 1: 2x−4y=16
The equation of Line 2: y=−34x−3
The equation of Line 3: y−5=−2(x+1)
Which statement is true?
(2 points)
Responses
Line 3 has the least steep slope.
Line 2 has an increasing graph.
Line 3 has a decreasing graph.
To determine which statement is true, we'll analyze the given equations:
Line 1: 2x - 4y = 16
Rearranging this equation in slope-intercept form (y = mx + b), we get:
-4y = -2x + 16
y = (1/2)x - 4
The slope of Line 1 is 1/2.
Line 2: y = -34x - 3
The slope of Line 2 is -34. However, since it's negative, Line 2 has a decreasing graph.
Line 3: y - 5 = -2(x + 1)
y - 5 = -2x - 2
y = -2x + 3
The slope of Line 3 is -2.
Comparing the slopes of the three lines, we find that Line 3 (-2) has the least steep slope.
Comparing the graphs:
Line 1 has a positive slope (1/2), which indicates an increasing graph.
Line 2 has a negative slope (-34), which indicates a decreasing graph.
Line 3 has a negative slope (-2), which also indicates a decreasing graph.
Therefore, the true statement is:
Line 3 has a decreasing graph.
Ryan is tracking how much money he has each week.
He started with $50.
He saves $15 per week for the first 6 weeks.
He spent $10 per week after week 6 until the money's all spent.
(4 points)
1) The graph of this scenario would be
because the rate of change changes.
2) The y-intercept of this graph would be
meaning
.
3) The rate of change is
after the first 6 weeks because as the weeks increase the money decreases.