Question

Graphing from slope 3/4 that contains the point (2, -3).

a) y = (3/4)x - 15/2
b) y = (3/4)x + 15/2
c) y = -(3/4)x - 15/2
d) y = -(3/4)x + 15/2

Answer 1

The line with a slope of 3/4 that contains the point (2, -3) can be represented by the equation y = (3/4)x - 15/2.

Step-by-step explanation:

To graph a line with a slope of 3/4 that contains the point (2, -3), we can use the point-slope form of a linear equation.

The equation will have the form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values (2, -3) and 3/4 into the equation, we get y - (-3) = (3/4)(x - 2).

Simplifying, we have y + 3 = (3/4)x - 3/2.

Further simplifying, we obtain the equation y = (3/4)x - 15/2, which means that option a) y = (3/4)x - 15/2 is the correct answer.