Respuesta :

joshlind3

Answer:

y = 3x - 4

Step-by-step explanation:

If two lines are parallel, that means they have the same slope, in this case 3.

We have to solve for b in [tex]y = 3x + b[/tex]

We're given the point (3, 5). All we have to do is plug in and solve

[tex]y = 3x + b\\5 = 3(3) + b\\5 = 9 + b\\b = -4\\y = 3x - 4[/tex]

Answer: y = 3x - 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 3x - 6

Comparing with the slope intercept form, slope = 3

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (3, 5) is 3

To determine the intercept, we would substitute m = 3, x = 3 and

y = 5 into y = mx + c. It becomes

5 = 3 × 3 + c = 9 + c

c = 5 - 9 = - 4

The equation becomes

y = 3x - 4

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