Mathematics: 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?

I didn,t get itStep-by-step explanation:...

A line in a graph passes through the point (2,0) and

sandovalito

19.01.2022

1) y-intercept = 1

2) Equation of line = $y=-\frac{1}{2}x+1$

Step-by-step explanation:

Slope-intercept form:

The equation of line is represented by y=mx+c .

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 $m = -\frac{1}{2}$

Substitute the given above values in y=mx+c to solve for c.

$0=-\frac{1}{2}\times (2)+c$

0=-1+c

1=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: $m = -\frac{1}{2}$ and c = 1(from above problem (1))

Substitute these above values in y=mx+c we have:

$y=-\frac{1}{2}x+1$

Hence, equation of line that passes through (2,0) with a slope of -1/2 is, $y=-\frac{1}{2}x+1$

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