Function A is a linear function whose graph includes the points (0,−7) and (3,0). Which of the following functions has the same y-intercept as Function A?Choices:(A) y=−37x(B) y=37x(C) y=3(D) y=−7
Q. Function A is a linear function whose graph includes the points (0,−7) and (3,0). Which of the following functions has the same y-intercept as Function A?Choices:(A) y=−37x(B) y=37x(C) y=3(D) y=−7
Find y-intercept Function A: To find the y-intercept of Function A, we look at the point where x=0. The point (0,−7) tells us the y-intercept is −7.
Identify y-intercept in choices: Now we need to find which of the given functions has a y-intercept of −7. The y-intercept is the constant term in the equation of a line when x=0.
Evaluate choice (A): Looking at the choices, (A) y=−37x has no constant term, so its y-intercept is 0, not −7.
Evaluate choice (B): Choice (B) y=37x also has no constant term, so its y-intercept is 0, not −7.
Evaluate choice (C): Choice (C) y=3 is a horizontal line with a y-intercept of 3, not −7.
Evaluate choice (D): Choice (D) y=−7 is a horizontal line with a y-intercept of −7. This matches the y-intercept of Function A.
More problems from Write equations of cosine functions using properties