Write an equation in slope-intercept form of the line with the given parametric equations.
x=t+6
y=2t-4
t = x - 6
y = 2 (x-6) - 4
y = 2 x -16
To find the slope-intercept form of the line, we need to solve for y in terms of x using the given parametric equations.
From the first equation, we have x = t + 6. To isolate t, we subtract 6 from both sides: t = x - 6.
Now, substitute this expression for t into the second equation: y = 2t - 4.
Replace t with x - 6: y = 2(x - 6) - 4.
Simplifying further, distribute the 2: y = 2x - 12 - 4.
Combine like terms: y = 2x - 16.
Therefore, the equation in slope-intercept form of the line with the given parametric equations is y = 2x - 16.