Answer:
1) y-intercept = 1
2) Equation of line = [tex]y=-\frac{1}{2}x+1[/tex]
Step-by-step explanation:
Slope-intercept form:
The equation of line is represented by [tex]y=mx+c[/tex].
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 [tex]m = -\frac{1}{2}[/tex]
Substitute the given above values in [tex]y=mx+c[/tex] to solve for c.
[tex]0=-\frac{1}{2}\times (2)+c[/tex]
[tex]0=-1+c[/tex]
[tex]1=c[/tex]
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: [tex]m = -\frac{1}{2}[/tex] and c = 1(from above problem (1))
Substitute these above values in [tex]y=mx+c[/tex] we have:
[tex]y=-\frac{1}{2}x+1[/tex]
Hence, equation of line that passes through (2,0) with a slope of -1/2 is, [tex]y=-\frac{1}{2}x+1[/tex]
