Graph a line with a slope of -\dfrac34−
4
3

minus, start fraction, 3, divided by, 4, end fraction that contains the point (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis.

Given:

It is given that the slope and contains the point (2,3)

We need to determine the graph of the line.

Equation of the line:

The equation of the line can be determined using the formula,

Substituting the point (2,3) and the slope in the above formula, we get;

Thus, the equation of the line is

Graphing the line:

The equation of the line can be graphed by plotting the x and y intercepts.

The x - intercept is the value of x when y = 0. Thus, we get;

Thus, the x - intercept is (6,0)

The y - intercept is the value of y when x = 0. Thus, we get;

Thus, the y - intercept is (0,4.5)

Hence, plotting these points and joining the line, we get the graph of the line

both equations and proportions are better.