Write and equation in slope-intercept form of the line with the given parametric equations
x=8t + 3
y=9t + 3

Step-by-step explanation:

An equation in slope-intercept form has the following format:

In this problem, we have that:

How can we write in slope-intercept?

In the first equation, i am going to solve t as a function of x. So

[te]t = \frac{x - 3}{8}[/tex]

Now i replace in the second equation

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3