The equation 4x − 5y=40 is in standard form and tells us the x-intercept and y-intercept easily. What are the x and y intercepts for this equation?
The line crosses the x-axis at (4, 40) and the y-axis at (-8, 40)
\The line crosses the x-axis at (-8, 0) and the y-axis at (0, 10)
The line crosses the x-axis at (0, 10) and the y-axis at (-8, 0)
The line crosses the x-axis at (4, 0) and the y-axis at (0, -5)
The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)
11 answers
The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)
Michele has $50. She plans to save $15 per week until she has a total of $230. Which equation matches this scenario?
y = −15x + 50
15x + 50y = 230
y = 50x + 15
y - 110 = 15 (x - 4)
y = −15x + 50
15x + 50y = 230
y = 50x + 15
y - 110 = 15 (x - 4)
15x + 50 = 230
x: -2 -1 2 5
y: 80 70 40 10
What is the slope of the line?
What is the y-intercept of the line?
What is the equation of the line?
y: 80 70 40 10
What is the slope of the line?
What is the y-intercept of the line?
What is the equation of the line?
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Using the points (-2, 80) and (5, 10):
slope = (10 - 80) / (5 - (-2))
slope = -70 / 7
slope = -10
To find the y-intercept of the line, we can use the slope-intercept form of the equation of a line:
y = mx + b where m is the slope and b is the y-intercept.
Using the point (-2, 80) and the slope we found:
80 = -10(-2) + b
80 = 20 + b
b = 80 - 20
b = 60
So, the y-intercept of the line is 60.
The equation of the line in slope-intercept form is:
y = -10x + 60
slope = (change in y) / (change in x)
Using the points (-2, 80) and (5, 10):
slope = (10 - 80) / (5 - (-2))
slope = -70 / 7
slope = -10
To find the y-intercept of the line, we can use the slope-intercept form of the equation of a line:
y = mx + b where m is the slope and b is the y-intercept.
Using the point (-2, 80) and the slope we found:
80 = -10(-2) + b
80 = 20 + b
b = 80 - 20
b = 60
So, the y-intercept of the line is 60.
The equation of the line in slope-intercept form is:
y = -10x + 60
x: -2 -1 2 5
y: 80 70 40 10
What is the slope of the line?
What is the y-intercept of the line?
What is the equation of the line?
-10
10
-30
30
(0,10)
(0,30)
(0,60)
y = 10x - 30
y = -30x + 10
y = -10x + 60
y: 80 70 40 10
What is the slope of the line?
What is the y-intercept of the line?
What is the equation of the line?
-10
10
-30
30
(0,10)
(0,30)
(0,60)
y = 10x - 30
y = -30x + 10
y = -10x + 60
Slope: -10
Y-intercept: 60
Equation of the line: y = -10x + 60
Y-intercept: 60
Equation of the line: y = -10x + 60
Table 1: x: -4 -2 0 2 4 f (x): -10 -8 -6 -4 -2
Table 2: x: 4 -2 0 2 4 f (x): 256 16 0 16 256
Table 3: x: -4 -2 0 2 4 f (x): -8 -4 0 4 8
Table 4: x: -4 -2 0 2 4 f (x): -1 1 3 5 7
Table 5: x: -4 -2 0 2 4 f (x): 3 5 7 9 11
Which of these tables DOES NOT represent a linear function?
Table 2: x: 4 -2 0 2 4 f (x): 256 16 0 16 256
Table 3: x: -4 -2 0 2 4 f (x): -8 -4 0 4 8
Table 4: x: -4 -2 0 2 4 f (x): -1 1 3 5 7
Table 5: x: -4 -2 0 2 4 f (x): 3 5 7 9 11
Which of these tables DOES NOT represent a linear function?
Table 2: x: 4 -2 0 2 4 f(x): 256 16 0 16 256
x: -8 -4 -2 y: -5 -3 -2
x: -7 -3 4 y: -5 -1 6
Match the table with correct equation.
y = x + 2
y = -1/2x + 1
y = 1/2x - 1
y = -2x + 1
x: -7 -3 4 y: -5 -1 6
Match the table with correct equation.
y = x + 2
y = -1/2x + 1
y = 1/2x - 1
y = -2x + 1
The first table matches the equation y = x + 2
The second table matches the equation y = -1/2x + 1
The second table matches the equation y = -1/2x + 1
1 answer