PART 1: Identify the slope of the graphed line
To find the slope, I will use the slope formula: m = (y₂ - y₁) / (x₂ - x₁) using the points (0, 1) & (3, 0).
m = (0 - 1) / (3 - 0)
m = - 1 / 3
The slope of the graphed line is negative one-third: - 1/3.
PART 2: Identify the y-intercept of the graphed line
The y-intercept of a line is the point where the line crosses the y-axis. In this problem, the line crosses the y-axis at y = 1.
PART 3: Identify the slope of the line given by the equation
The given equation is written in the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. The slope of the line as shown by the equation is 1/2.
PART 4: Identify the y-intercept of the line given by the equation
As previously stated, the equation is written is the slope-intercept form, so to find the y-intercept in the equation, all we need to do is find the value for b. In this case, b = -1.
Hope this helps!
