Answer
The equation of that line is: $y = 4x - 12$
Work Step by Step
1. Find the point that these 2 functions cross each other:
- 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 "2x -3y =6" equation:
$2x - 3(0) = 6$
$2x = 6$
$\frac{2x}{2} = \frac{6}{2}$
$x = 3$
- Therefore, the specified line pass through (3, 0).
2. The patter equation for a line is: "y = mx + b", we know that the slope (m) is equal to 4.
$y = 4x + b$
3. Substitute the x and y values (3, 0) in the equation and solve for b.
$0 = 4(3) + b$
$0 - 12 = 12 + b - 12$
$-12 = b$
4. Write the equation of the specified line:
$y = 4x - 12$
