Answer:
(a)
[tex]Slope=-\dfrac{1}{3}\\$y-intercept =1[/tex]
(b)
[tex]Slope = \dfrac12\\$y-intercept=$ -1[/tex]
Step-by-step explanation:
Given a line which goes through the points: (0, 1) and (3, 0).
(a)Slope
[tex]m=\dfrac{0-1}{3-0}\\m=-\dfrac{1}{3}[/tex]
The slope-intercept form of the equation of a line is given as: y=mx+b
Therefore:
[tex]y=-\dfrac{1}{3}x+b\\$From the point (0,1), When x=0, y=1; Therefore:$\\1=-\dfrac{1}{3}(0)+b\\$Therefore:\\b=1[/tex]
The y-intercept of the line through points (0, 1) and (3, 0) is 1.
(b)Given the line:
[tex]y=\dfrac12x-1[/tex]
Comparing with the slope-intercept form of the equation of a line: y=mx+b
[tex]Slope = \dfrac12\\$y-intercept=$ -1[/tex]
Answer:
Identify the slope of the graphed line:
✔ -1/3
Identify the y-intercept of the graphed line:
✔ 1
Identify the slope of the line given by the equation:
✔ 1/2
Identify the y-intercept of the line given by the equation:
✔ -1
Step-by-step explanation:
Got it right on edge. 2020
:)) hope I helped.
