Answer
y = -0.25x + 2
y = -¼(x) + 2
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
So, we need to calculate the slope for this line.
y-intercept is the point where the line crosses the y-axis.
b = 2
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
For this question, we will pick two points on it
(x₁, y₁) and (x₂, y₂) are (0, 2) and (4, 1)
[tex]\text{Slope = }\frac{1-2}{4-0}=\frac{-1}{4}=-0.25[/tex]
Recall that
y = mx + b
m = -0.25
b = 2
y = -0.25x + 2
Hope this Helps!!!
