Identify the slope and y intercept of the line. Provide the most simplified form of the slope. With the coordinates A (0,-3) and B (-4,0)
(1 point)
The slope is ?. The y-intercept is (0, ?)
To find the slope, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Given points A (0, -3) and B (-4, 0):
slope = (0 - (-3)) / (-4 - 0)
slope = 3 / -4
slope = -3/4
So, the slope is -3/4.
To find the y-intercept, we use the y = mx + b form of a line where b is the y-intercept:
Using point A (0, -3) and the slope -3/4:
-3 = (-3/4)(0) + b
-3 = b
So, the y-intercept is (0,-3).
Use the table to answer the question.
x 0 9 18
У 3 6 9
Identify the slope and y-intercept of the line. Provide the most simplified form of the slope.
(1 point)
The slope is ?. The y-intercept is (O,?)
To find the slope, we first need to determine two points from the table to find the slope of the line. Let's choose the points (0, 3) and (9, 6) from the table.
Using the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Where:
(x1, y1) = (0, 3)
(x2, y2) = (9, 6)
slope = (6 - 3) / (9 - 0)
slope = 3 / 9
slope = 1/3
So, the slope is 1/3.
To find the y-intercept, we can use the point (0, 3) and the slope we found above.
Using the y = mx + b equation of a line:
3 = (1/3)(0) + b
b = 3
Therefore, the y-intercept is (0, 3).
Use the table to answer the question.
х y
1 -5
2 0
3 5
Write the equation of the line in slope-intercept form.
(1 point)
y=?x+(?)
To find the equation of the line in slope-intercept form (y = mx + b), we first need to calculate the slope (m) using two points from the table. Let's choose points (1, -5) and (3, 5).
The formula for slope (m) is:
m = (y2 - y1) / (x2 - x1)
Using points:
(x1, y1) = (1, -5)
(x2, y2) = (3, 5)
m = (5 - (-5)) / (3 - 1)
m = 10 / 2
m = 5
Therefore, the slope of the line is 5.
Now that we have the slope, we can determine the y-intercept (b) by substituting the slope and a point from the table into the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (2, 0):
y - 0 = 5(x - 2)
y = 5x - 10
So, the equation of the line in slope-intercept form is:
y = 5x - 10
Use the table to answer the question.
х: 1, 2, 3
y: -5, 0, 5
y=?x+(?)
To find the equation of the line in slope-intercept form (y = mx + b), we first need to calculate the slope (m) using two points from the table. Let's choose points (1, -5) and (3, 5).
The formula for slope (m) is:
m = (y2 - y1) / (x2 - x1)
Using points:
(x1, y1) = (1, -5)
(x2, y2) = (3, 5)
m = (5 - (-5)) / (3 - 1)
m = 10 / 2
m = 5
Therefore, the slope of the line is 5.
Now that we have the slope, we can determine the y-intercept (b) by substituting the slope and a point from the table into the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (2, 0):
y - 0 = 5(x - 2)
y = 5x - 10
So, the equation of the line in slope-intercept form is:
y = 5x - 10
Use the table to answer the question.
х: 1, 2, 3
y: -5, 0, 5
y = ?x + (?)
Not subtraction
To find the equation of the line in slope-intercept form (y = mx + b), we need to calculate the slope (m) and the y-intercept (b) using the points from the table.
Given points:
(1, -5)
(2, 0)
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the values:
m = (0 - (-5)) / (2 - 1)
m = 5 / 1
m = 5
Now we have the slope as 5.
Next, to find the y-intercept (b), we can substitute the slope and one of the points into the equation:
y = mx + b
Using the point (1, -5) and the slope 5:
-5 = 5(1) + b
-5 = 5 + b
b = -10
Substitute the slope and y-intercept into the equation:
y = 5x - 10
Therefore, the equation of the line in slope-intercept form is:
y = 5x - 10
)
Use the table to answer the question.
x: -3, -2, -1
y: 0, 3, 6
y = ?x + (?)