Answered

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Write an equation in slope-intercept form for the line that passes through (0,4) and is parallel to the line described by y=3x-7

Write An Equation In Slopeintercept Form For The Line That Passes Through 04 And Is Parallel To The Line Described By Y3x7 class=

Sagot :

slope-intercept form of a line (L1): y = mx + b; where m is the slope and b the y - intercept.

If two lines are parallel, that means the slope of both equations are equal.

L2: y = 3x - 7, m = 3

So, m for L1 is m = 3.

Now we just need to find y - intercept, as follows:

L1 passes through (0,4), then:

4 = 3(0) + b

4 = 0 + b

b = 4

The equation for the line is y = 3x + 4

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