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irinina [24]
2 years ago
13

Write an equation for line L in point-slope form and slope-intercept form.

Mathematics
1 answer:
Marianna [84]2 years ago
5 0

Answer:

y = -\frac{1}{4}x + c --- Slope intercept

y - y_1 = -\frac{1}{4}(x - x_1) --- Point slope

Step-by-step explanation:

Given

Perpendicular to y = 4x

Required

Determine its equation

The general form of an equation is:

y = mx + c

Where

m = slope

By comparison:

m = 4

Next, we calculate the slope of L.

Because L is perpendicular to y = 4x, the relationship between their slopes is:

m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

The equation of L in slope intercept form is: y = mx + c

Substitute -1/4 for m

y = -\frac{1}{4}x + c

In point slope form, we have:

y - y_1 = m(x - x_1)

Substitute -1/4 for m

y - y_1 = -\frac{1}{4}(x - x_1)

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