Function A is a linear function with an x-intercept of −3 and a y-intercept of −9. Which of the following functions has the same slope as Function A?Choices:A)y=9x+3B)y=−3x−9C)y=3x+9D)y=−9x−3
Q. Function A is a linear function with an x-intercept of −3 and a y-intercept of −9. Which of the following functions has the same slope as Function A?Choices:A)y=9x+3B)y=−3x−9C)y=3x+9D)y=−9x−3
Find Slope: To find the slope of Function A, use the x-intercept and y-intercept. The slope (m) is the change in y over the change in x.
Calculate Slope: The x-intercept is the point (−3,0) and the y-intercept is the point (0,−9). So the slope m is (0−(−9))/(−3−0)=9/−3=−3.
Identify Correct Function: Now, look at the choices and find the one with the slope of −3. (A) y=9x+3 has a slope of 9. (B) y=−3x−9 has a slope of −3. (C) y=3x+9 has a slope of 3. (D) y=−9x−3 has a slope of −9.
Identify Correct Function: Now, look at the choices and find the one with the slope of −3.A)y=9x+3 has a slope of 9.B)y=−3x−9 has a slope of −3.C)y=3x+9 has a slope of 3.D)y=−9x−3 has a slope of −9.The function with the same slope as Function A is B)y=−3x−9.
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