Answer:
Slope-intercept form: y = - ½x + 3
Explanation:
In the slope-intercept form, y= mx + b:
m = slope
b = y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where it crosses the y-axis. At that given point, the value of x = 0.
Start by choosing two points from the graph that you could use to solve for the slope of the line. I often use the y-intercept as one of the points.
Use the following points: (0, 3) and (6, 0):
Let (x₁, y₁) = (0, 3) ⇒ This is the y-intercept.
(x₂, y₂) = (6, 0) ⇒ This is the x-intercept, the point on the graph where it crosses the x-axis.
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
Hence, the slope of the line is: m = - ½.
As previously mentioned, one of the points we used to solve for the slope is the y-intercept, (0, 3). Its y-coordinate is the value of b = 3 that you will use for the equation.
Therefore, the linear equation in slope-intercept form is: y = - ½x + 3.