3xy6 Find x and y interceptSolutionIf 3x y 6 then y 3x 6

3x+y=6
Find x and y intercept

Solution

If 3x + y = 6, then y = -3x + 6. The standard slope-intercept form of the equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. Here c = 6. Therefore, the y-intercept is 6. Alternatively, the y-intercept is where x = 0. If we substitute x = 0 in the equation of the line, then y = 6. Thus, the y-intercept is 6. Similarly, the x-intercept is where y = 0.If we substitute y = 0 in the equation of the line, then -3 x + 6 = 0 or, 3x = 6 so that x = 2. Thus, the x-intercept is 2