The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, <u>option A</u> is the best choice.
The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.
The y-intercept of a line is the point at which the line intersects the y-axis.
The standard form of a line is <u>y = mx + b</u>, where m represents the slope of the line, and b represents its y-intercept.
In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.
Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,
m = -2, and b = 5.
Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.
Thus, we get the slope = -2, and the y-intercept = (0, 5).
The option representing the answer is <u>option A</u>.
Learn more about the slope and the y-intercept of a line at
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