Question

Which equation has a graph that passes through the point (-3, -1.5) and a slope of 1/3?

a) x - 6y = 3
b) y + 2 = 1/3(x + 4.5)
c) y = 3x + 6
d) None of the above

Answer 1

The equation that has a graph passing through the point (-3, -1.5) and a slope of 1/3 is y + 2 = 1/3(x + 4.5).

Step-by-step explanation:

The equation that has a graph passing through the point (-3, -1.5) and a slope of 1/3 is option b) y + 2 = 1/3(x + 4.5).

To verify this, substitute the x-coordinate -3 and y-coordinate -1.5 into the equation and check if it holds true. The equation becomes (-1.5) + 2 = 1/3((-3) + 4.5), which simplifies to 0.5 = 0.5. Since both sides are equal, the point satisfies the equation.

This equation represents a straight line with a slope of 1/3. When the value of x increases by 1, the value of y increases by 1/3. The equation is in slope-intercept form (y = mx + b) where the slope (m) is 1/3 and the y-intercept (b) is -2.