Answer
The equation of that line is: $y = \frac{1}{2}x - 1$
Work Step by Step
1. Find the point where these 2 functions intersect:
- At the x-intercept, the value for "y" is equal to 0, so the function pass through the "x axis".
- Find the value for "x" when y = 0 in the "3x + y = 6" equation:
$3x + (0) = 6$
$3x = 6$
$\frac{3x}{3} = \frac{6}{3}$
$x = 2$
- Therefore, the specified line pass through (2, 0).
2. The patter equation for a line is: "y = mx + b", and we know that the slope (m) is equal to $\frac{1}{2}$.
$y = \frac{1}{2} x + b$
3. Substitute the x and y values (2, 0) in the equation and solve for b.
$0 = \frac{1}{2}(2) + b$
$0 = 1 +b$
$0 - 1 = 1 + b - 1$
$-1 = b$
4. Write the equation of the specified line:
$y = \frac{1}{2}x - 1$
