what is the x and y intercept of 4x+7y=8?
(2,0) and (0, 8/7)
4x + 7y = 8.
Substitute 0 for x:
4*0 + 7y = 8,
7y = 8,
y = 8/7.
Let y = 0:
4x + 7*0 = 8,
4x = 8,
x = 2.
(2 , 0) , (0 , 8/7).
To find the x-intercept of a linear equation, you set y equal to zero and solve for x. To find the y-intercept, you set x equal to zero and solve for y.
In the equation 4x + 7y = 8, to find the x-intercept, we set y equal to zero:
4x + 7(0) = 8
4x + 0 = 8
4x = 8
x = 8/4
x = 2
So, the x-intercept is 2.
To find the y-intercept, we set x equal to zero:
4(0) + 7y = 8
0 + 7y = 8
7y = 8
y = 8/7
So, the y-intercept is 8/7.
Therefore, the x-intercept is 2 and the y-intercept is 8/7.