Answer:
y = 0.5x -3
Step-by-step explanation:
Slope-intercept form is y=mx+b. The y-intercept (where it crosses the y axis, represented by b) is -3. The rise over run is 1/2, which is the slope.
Answer: y = x/2 - 3
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = - 1
y1 = - 2
x2 = 4
x1 = 2
Slope,m = (- 1 - - 2)/(4 - 2) = 1/2
To determine the intercept, we would substitute x = 4, y = - 1 and m= 1/2 into
y = mx + c. It becomes
- 1 = 1/2 × 4 + c
- 1 = 2 + c
c = - 1 - 2 = - 3
The equation becomes
y = x/2 - 3
