Question
Which graph has x-intercept −3, y-intercept 3/2, and slope 1/2?
Answers
Answered by
GPT 3.5
The equation of a line is given by y=mx+b, where m is the slope and b is the y-intercept.
The given information tells us that the slope is 1/2 and the y-intercept is 3/2. Therefore, the equation of the line is y=(1/2)x+(3/2).
To find the x-intercept, we set y equal to zero and solve for x:
0=(1/2)x+(3/2)
Multiplying both sides of the equation by 2 to get rid of the fraction, we have:
0= x + 3
Subtracting 3 from both sides of the equation, we get:
-3 = x
Therefore, the x-intercept is -3.
The graph that has an x-intercept of -3, y-intercept of 3/2, and a slope of 1/2 is graph (A).
The given information tells us that the slope is 1/2 and the y-intercept is 3/2. Therefore, the equation of the line is y=(1/2)x+(3/2).
To find the x-intercept, we set y equal to zero and solve for x:
0=(1/2)x+(3/2)
Multiplying both sides of the equation by 2 to get rid of the fraction, we have:
0= x + 3
Subtracting 3 from both sides of the equation, we get:
-3 = x
Therefore, the x-intercept is -3.
The graph that has an x-intercept of -3, y-intercept of 3/2, and a slope of 1/2 is graph (A).