In the 𝑥𝑦-plane, the slope of line 𝑙 passing through point 𝐴 with coordinates (3,6) is –3. Quantity A  Quantity B The 𝑥-intercept of line 𝑙

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the line l passes through the point A(3,6) and has a slope of -3, we can substitute these values into the equation to find the y-intercept (b).

6 = -3*3 + b 6 = -9 + b b = 6 + 9 b = 15

So, the equation of the line l is y = -3x + 15.

The x-intercept of a line is the value of x when y = 0. We can find this by setting y = 0 in the equation of the line and solving for x.

0 = -3x + 15 3x = 15 x = 15 / 3 x = 5

So, the x-intercept of line l is 5.