what are the x and y intercepts 3x-7y=42
The x intercept is the point at which the line meets the x axis, and hence the y co-ordinate is zero. Similarly, the x co-ordinate is zero at the y intercept.
So to find these, simply put y = 0 for the x intercept and x = 0 for the y intercept.
a)
At x intercept,
3x - 7(0) = 42
=> x = 14
b)
At y intercept,
3(0) - 7y = 42
=> y = -6
To find the x-intercept, set y = 0 and solve for x:
3x - 7(0) = 42
3x = 42
x = 42/3
x = 14
Therefore, the x-intercept is (14, 0).
To find the y-intercept, set x = 0 and solve for y:
3(0) - 7y = 42
-7y = 42
y = 42/-7
y = -6
Therefore, the y-intercept is (0, -6).
To find the x-intercept, you need to set y equal to zero and solve for x. Similarly, to find the y-intercept, you set x equal to zero and solve for y.
Given the equation 3x - 7y = 42, let's first find the x-intercept. To do this, substitute y with zero in the equation:
3x - 7(0) = 42
3x - 0 = 42
3x = 42
x = 42 / 3
x = 14
The x-intercept is 14.
Next, let's find the y-intercept by substituting x with zero:
3(0) - 7y = 42
0 - 7y = 42
-7y = 42
y = 42 / -7
y = -6
The y-intercept is -6.
Therefore, the x-intercept is 14, and the y-intercept is -6 for the equation 3x - 7y = 42.