Identify the slope and y-intercept of the line. Provide the most simplified form of the slope
0,-3 -4,0
To find the slope, use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, -3) and (x2, y2) = (-4, 0).
slope = (0 - (-3)) / (-4 - 0)
slope = 3 / -4
slope = -3/4
The y-intercept is the y-coordinate where the line intersects the y-axis. To find the y-intercept, substitute one of the given points into the slope-intercept form of a line, y = mx + b, where m is the slope:
Using point (0, -3):
-3 = (-3/4)(0) + b
-3 = b
Therefore, the y-intercept is -3.
Slope: -3/4
Y-Intercept: -3
Identify the slope and the white incerpt of the line provide the most simplified form of the slope.
Table:x:0,9,18. Y 3,6,9
To find the slope between the points (0, 3) and (9, 6):
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 3) and (x2, y2) = (9, 6).
slope = (6 - 3) / (9 - 0)
slope = 3 / 9
slope = 1/3
Therefore, the slope in the most simplified form is 1/3.
To find the y-intercept, substitute one of the given points into the slope-intercept form of a line, y = mx + b, where m is the slope.
Using point (0, 3):
3 = (1/3)(0) + b
b = 3
Therefore, the y-intercept is 3.
Slope: 1/3
Y-Intercept: 3
Write the equation of the slope intercept form
1,1 0,-1
To find the equation of the line passing through the points (1, 1) and (0, -1), we first need to calculate the slope.
Let's calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
Given points are:
(x1, y1) = (1, 1)
(x2, y2) = (0, -1)
slope = (-1 - 1) / (0 - 1)
slope = -2 / -1
slope = 2
Now that we have found the slope, we can use the point-slope form formula to write the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Using the point (1, 1):
y - y1 = m(x - x1)
y - 1 = 2(x - 1)
y - 1 = 2x - 2
y = 2x - 1
Therefore, the equation of the line passing through the points (1, 1) and (0, -1) in slope-intercept form is y = 2x - 1.
Y=2x +_?
To determine the y-intercept when the equation of the line is in the form y = 2x + b, we need to know the value of the y-intercept, which represents where the line crosses the y-axis.
The 2x indicates the slope of the line, and the 'b' term represents the y-intercept. Since the y-intercept is missing in the equation y = 2x + ?, we can't provide the exact value of the y-intercept.
If the y-intercept were provided, the equation would be in the form y = 2x + b, where 'b' is the y-intercept value. With the information given, we would need to know the value of 'b' to determine the full slope-intercept equation.
If you are looking for the general form of the equation y = 2x + b without the specific y-intercept, it would be y = 2x + b where b is any real number, as the value of the y-intercept would not be specified.
Wrong
I apologize for the confusion in the previous message. Let's correct it:
Given the equation y = 2x + b, we know that the coefficient of x is the slope and b is the y-intercept. However, since you are looking for the equation in the slope-intercept form y = mx + b with the slope 'm' and the intercept 'b', the correct equation should be:
y = 2x + b
The y-intercept 'b' for this equation is the unknown part, as it represents the constant term that affects only the y-value when x is 0. If the y-intercept value is not given, we cannot determine the specific value of 'b' in this case.
Please let me know if you need further clarification or if there is a specific value of 'b' you are looking for.
The line of the slope has points B 1,1 and A0,-1
Now write the correct equation for slope form