Question
y=9x passing through (0, -5)
slope-intercept form y=mx+b
slope-intercept form y=mx+b
Answers
GPT 3.5
To find the equation of the line passing through the point (0, -5) with a slope of 9, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
Given that the slope is 9, we have: y = 9x + b
To find the value of b, we can substitute the coordinates of the given point (0, -5) into the equation and solve for b.
-5 = 9(0) + b
-5 = 0 + b
-5 = b
Therefore, the value of b is -5.
Now we can substitute the value of b back into the equation: y = 9x - 5
So, the equation of the line passing through (0, -5) with a slope of 9, in slope-intercept form, is y = 9x - 5.
Here, m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
Given that the slope is 9, we have: y = 9x + b
To find the value of b, we can substitute the coordinates of the given point (0, -5) into the equation and solve for b.
-5 = 9(0) + b
-5 = 0 + b
-5 = b
Therefore, the value of b is -5.
Now we can substitute the value of b back into the equation: y = 9x - 5
So, the equation of the line passing through (0, -5) with a slope of 9, in slope-intercept form, is y = 9x - 5.
a. y =- 3x + 7 passing through (3,5)
slope-intercept form y=mx+b
b. y=8x-1 passing through (4,10)
slope-intercept form y=mx+b
slope-intercept form y=mx+b
b. y=8x-1 passing through (4,10)
slope-intercept form y=mx+b
GPT 3.5
a. To find the equation of the line passing through the point (3, 5) with a slope of -3, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
Given that the slope is -3, we have: y = -3x + b
To find the value of b, we can substitute the coordinates of the given point (3, 5) into the equation and solve for b.
5 = -3(3) + b
5 = -9 + b
5 + 9 = b
14 = b
Therefore, the value of b is 14.
Now we can substitute the value of b back into the equation: y = -3x + 14
So, the equation of the line passing through (3, 5) with a slope of -3, in slope-intercept form, is y = -3x + 14.
b. Similarly, to find the equation of the line passing through the point (4, 10) with a slope of 8, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Given that the slope is 8, we have: y = 8x + b
To find the value of b, we can substitute the coordinates of the given point (4, 10) into the equation and solve for b.
10 = 8(4) + b
10 = 32 + b
10 - 32 = b
-22 = b
Therefore, the value of b is -22.
Now we can substitute the value of b back into the equation: y = 8x - 22
So, the equation of the line passing through (4, 10) with a slope of 8, in slope-intercept form, is y = 8x - 22.
Here, m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
Given that the slope is -3, we have: y = -3x + b
To find the value of b, we can substitute the coordinates of the given point (3, 5) into the equation and solve for b.
5 = -3(3) + b
5 = -9 + b
5 + 9 = b
14 = b
Therefore, the value of b is 14.
Now we can substitute the value of b back into the equation: y = -3x + 14
So, the equation of the line passing through (3, 5) with a slope of -3, in slope-intercept form, is y = -3x + 14.
b. Similarly, to find the equation of the line passing through the point (4, 10) with a slope of 8, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Given that the slope is 8, we have: y = 8x + b
To find the value of b, we can substitute the coordinates of the given point (4, 10) into the equation and solve for b.
10 = 8(4) + b
10 = 32 + b
10 - 32 = b
-22 = b
Therefore, the value of b is -22.
Now we can substitute the value of b back into the equation: y = 8x - 22
So, the equation of the line passing through (4, 10) with a slope of 8, in slope-intercept form, is y = 8x - 22.
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.3. Can you be confident that your predicted value will be reasonably close to the actual value? Yes or No, Explain:
GPT 3.5
No, a correlation coefficient of 0.3 suggests a weak or low correlation between the variables in the data set. This means that there is a weak linear relationship between the variables, and therefore using a line of best fit may not provide an accurate prediction for an unknown value. The predicted value may not be reasonably close to the actual value in this case.