Question

What is the parallel line for (0,4) and y=3/2x+3

Answer 1

The parallel line to y = $\frac{3}{2}$ x + 3 and passes through

the point (0 , 4) is y = $\frac{3}{2}$ x + 4

Step-by-step explanation:

Parallel lines have:

1. The same slopes

2. The different y-intercept

The slope-intercept form of the linear equation is y = m x + c, where

m is the slope of the line and c is the y-intercept

We need to find the equation of the line that is parallel to

y = $\frac{3}{2}$ x + 3 and passes through the point (0 , 4)

∵ The two lines are parallel

∴ Their slopes are equal

∵ The equation of the given line is y = $\frac{3}{2}$ x + 3

∵ The form of the equation is y = m x + c

∴ m = $\frac{3}{2}$

∴ The slope of the line is $\frac{3}{2}$

∵ The equation of the line is y = mx + c

∵ m = $\frac{3}{2}$

∴ The equation of the line is y = $\frac{3}{2}$ x + c

- To find c substitute x and y in the equation by the coordinates of

  a point lies on the line

∵ The line passes through the point (0 , 4)

∴ x = 0 , y = 4

∴ 4 = $\frac{3}{2}$ (0) + c

∴ c = 4

∴ The equation of the line is y = $\frac{3}{2}$ x + 4

The parallel line to y = $\frac{3}{2}$ x + 3 and passes through

the point (0 , 4) is y = $\frac{3}{2}$ x + 4

Learn more:

You can learn more about equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly