Respuesta :
The line 3x - 7y = 2 crosses the x-axis at point 0.66 and crosses the y-axis at point -0.28.
X-Intercept and Y-Intercept
The intercept is a point on an axis, where a line crosses the axis. The x-intercept is the point where the line crosses the x-axis. The y-intercept is the point where the line crosses the y-axis.
Given the equation of the line is 3x-7y=2.
To find out the x-intercept, putting y=0 in the above equation,
[tex]3x -7\times 0 = 2[/tex]
[tex]x = \dfrac {2}{3} = 0.66[/tex]
The x-intercept of the line is 0.66.
To find out the y-intercept, putting x=0 in the above equation,
[tex]3\times 0-7y=2[/tex]
[tex]y=\dfrac {-2}{7}=-0.28[/tex]
The y-intercept of the line is -0.28.
Hence we can conclude that the line 3x - 7y = 2 crosses the x-axis at point 0.66 and crosses the y-axis at point -0.28.
To know more about the x and y-intercepts of the line, follow the link given below.
https://brainly.com/question/1842643.
