A line in a graph passes through the point (2,0) and has a slope of -1/2.

1.) What is the y-intercept of the line plotted?

2.) What is the equation of the line that passes through (2,0) with a slope of -1/2?

1) y-intercept = 1

2) Equation of line =

Step-by-step explanation:

Slope-intercept form:

The equation of line is represented by .

Here, m represents the slope of line and c represents the y-intercept.

(1).

The objective is to determine the y-intercept of the line.

From the given information:

(x,y) = (2,0) and  

Substitute the given above values in to solve for c.

Hence, the y-intercept of the line is, 1.

(2).

The objective is to determine the equation of line that passes through (2,0) with a slope of -1/2.

Given that:   and c = 1(from above problem (1))

Substitute these above values in we have:

Hence, equation of line that passes through (2,0) with a slope of -1/2 is,

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step-by-step explanation:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.