The equation of this straight line is equal to y = -1/2x + 1.
How to calculate the equation of the given line?
First of all, we would determine the slope of the straight line by using this formula:
[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
By critically observing the graph, the points on the x-axis and y-axis is given by:
Points (x₁, x₂) = (0, 2)
Points (y₁, y₂) = (1, 0)
Substituting the given points into the formula, we have;
Slope, m = (0 - 1)/(2 -0)
Slope, m = -1/2
In Mathematics, the y-intercept of any graph occurs at the point where the value of "x" is equal to zero (0).
y-intercept = (0, 1)
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
- x and y are the points.
- m is the slope.
- c is the intercept.
Substituting the parameters into the formula, we have;
y = -1/2x + 1.
Read more on slope here: https://brainly.com/question/11586413
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