A
passes through a(-3,0) and b(-6,5). what is the equation of the line that passes through the origin and is parallel to ab?
oa. 5x - 3y = 0
b. -* + 3y = 0
c. 5x - 3y = 0
d. 3x + 5y = 0
e. -3x + 5y = 0

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

The formula of a slope:

We have the points A(-3, 0) and B(-6, 5). Substitute:

The line passes through the origin, therefore the y-intercept is equal to 0.

Therefore we have the equation:

Convert to the standard form

        multiply both sides by 3

               add 5x to both sides

range is infinite on both x and y axis positive and negative

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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