The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.​

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

           [subtract both sides by 3x]

           [divide both sides by 2]

With the slope-intercept form of line A, we can see that the slope is . We take the slope and the given point (4,6) to find the y-intercept of line B.

           [plug in (4,6)]

        [multiply]

             [add both sides by 6]

With the y-intercept, we know the equation for line B is .