Given that the two lines are parallel, we can assume that the two angles given are supplementary (due to them being same side interior angles)

Supplementary angles - when the sum of their degree measure is 180°

8x - 13 + 4x + 1 = 180

12x = 192

x = 16

8 0

2 years ago

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A line intersects the points (3,-4) and

MrRa [10]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = $\frac{2+4}{1-3}$ = $\frac{6}{-2}$ = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

5 0

3 years ago