Question

What is the equation of the line that is parallel to the given line and has an x-intercept of –3? y = Two-thirdsx + 3 y = Two-thirdsx + 2 y = Negative three-halvesx + 3 y = –Three-halvesx + 2

Answer 1

Answer:

$y=\frac{2}{3} x+2$

Step-by-step explanation:

• Equation $y=\frac{2}{3} x+3$ is parallel to $y=\frac{2}{3} x+2$, as they share the same slope of x and the ony difference between them is that the first one has the intercept of y = 3 and the second equation has the intercept of y =2.
• In the equation $y=\frac{2}{3} x+2$, when y= 0 we can find the intercept of x (which is the value that takes x when y=0=, $y=0=\frac{2}{3} x+2$ . by subtracting 2 in the two terms ⇒ $\frac{2}{3} x=-2$ .  Then, multiplying boths sides by (3/2) ⇒$x=(-2)\frac{3}{2} =(-3)$.
• Finally, x intercept equals (-3), and both curves are parallel (see the picture attached).

Answer 2

Answer:

y = 2/3x + 2

Step-by-step explanation:

hope this helps :)

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