5x-3y=-6
find the x-intercept and y-intercept
To find the x-intercept, set y=0 in the equation and solve for x:
5x - 3(0) = -6
5x = -6
x = -6/5
Therefore, the x-intercept is (-6/5, 0).
To find the y-intercept, set x=0 in the equation and solve for y:
5(0) - 3y = -6
-3y = -6
y = -6/-3
y = 2
Therefore, the y-intercept is (0, 2).
4x-4y=0
find the x and y intercepts
To find the x-intercept, set y=0 in the equation and solve for x:
4x - 4(0) = 0
4x = 0
x = 0
Therefore, the x-intercept is (0, 0).
To find the y-intercept, set x=0 in the equation and solve for y:
4(0) - 4y = 0
-4y = 0
y = 0
Therefore, the y-intercept is (0, 0).
find the slope of the line that passes through the points (2,-6) and (4,-12)
To find the slope of a line passing through two points, we use the formula:
Slope = (y2 - y1) / (x2 - x1)
Let's substitute the given values into the formula:
(x1, y1) = (2, -6)
(x2, y2) = (4, -12)
Slope = (-12 - (-6)) / (4 - 2)
Slope = (-12 + 6) / (4 - 2)
Slope = -6 / 2
Simplifying the fraction, we get:
Slope = -3
Therefore, the slope of the line passing through the points (2,-6) and (4,-12) is -3.
find slope of the line that passes through the points
(2,-1) and (-9,3)
To find the slope of a line passing through two points, we use the formula:
Slope = (y2 - y1) / (x2 - x1)
Let's substitute the given values into the formula:
(x1, y1) = (2, -1)
(x2, y2) = (-9, 3)
Slope = (3 - (-1)) / (-9 - 2)
Slope = (3 + 1) / (-9 - 2)
Slope = 4 / (-11)
Therefore, the slope of the line passing through the points (2, -1) and (-9, 3) is -4/11.
find the slope of a line passing through the points
(6,5) and (6,8)
(3,10) and (-7,10)
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
Slope = (y2 - y1) / (x2 - x1)
For the first set of points (6, 5) and (6, 8):
Slope = (8 - 5) / (6 - 6)
Slope = 3 / 0
Since the denominator is 0, the slope is undefined.
For the second set of points (3, 10) and (-7, 10):
Slope = (10 - 10) / (-7 - 3)
Slope = 0 / -10
Slope = 0
Therefore, the slope of the line passing through the points
(6, 5) and (6, 8) is undefined, and the slope of the line passing through the points (3, 10) and (-7, 10) is 0.