Answer:
A. y = -0.5x + 1
Step-by-step explanation:
Hello!
An equation of a line is written in slope-intercept form: [tex]y = mx + b[/tex]
- y = output, y-value, ordinate
- m = slope, rise over run, rate of change
- x = input, x-value, abscissa
- b = y-intercept, starting value
Y-intercept
The y-intercept is found when x=0, or then the line crosses the y-axis.
Over here, we can see that the line crosses the y-axis at point (0,1), so the y-intercept is positive 1.
Slope
Slope is calculated by rise over run, or the ratio of how much the graph rises over how much the graph runs. Use points to determine how the graph changes. (For simple calculations, use integer points, such as (0,1) and (0,2)
- [tex]\frac{\text{rise}}{\text{run}}[/tex]
- [tex]\frac{-1}{2}[/tex]
- [tex]-0.5[/tex]
Now that we have the slope and the y-intercept, we can plug those values to make our equation.
- [tex]y = mx + b[/tex]
- [tex]y = -0.5x + 1[/tex]
The correct answer is Option A. y = -0.5x + 1
