Answered

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What will be the equation of straight line passing through the point 1/2 and parallel to the line y 3x 1?

Sagot :

The equation of the straight line passing through the point (1/2, 0) and parallel to the line y = 3x + 1 is y = 3x - ½ with slope m1 = 3 and m2 = 3.

Given line is y = 3x + 1

We need to find equation of line parallel to this line

Let us consider the equation of line as y = mx + c

We know that two lines are parallel if they have same slope i.e. m1 = m2

Here m1 = 3

So slope of required line m2 = 3

We need to find the value of c

Let us take a point (x1, y1) common to both lines

We know that (1/2, 0) is common to both lines

So x1 = 1/2, y1 = 0

Substituting these values in y = mx + c

0 = 3(1/2) + c

=> c = -1/2

Hence the equation of straight line passing through the point (1/2, 0) and parallel to the line y = 3x + 1 is y = 3x - 1/2.

Learn more about slope here

https://brainly.com/question/3605446

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