Question

Which of the following functions would be represented by a dashed line passing through the origin and (3,2) shaded above the line

Answer 1

Step-by-step explanation:

Generally, the slope-intercept form of the equation of a line is given as;

`y=mx+b`

where m = the slope of the line

b = y-intercept of the line

From the question, we're told that the required line will pass through the origin and (3, 2), so we can find our slope(m) of the line using the given coordinates x1 = 0, y1 = 0, x2 = 3, and y2 = 2;

`m=(y_2-y_1)/(x_2-x_1)=(2-0)/(3-0)=(2)/(3)`

So the slope(m) of the line is 2/3.

Since we're told that the line will pass through the origin, it means that the y-intercept (b) = 0.

Since the gragh will be shaded above the dashed line, it means that the inequality will have a greater than sign(>).

We're told that the line will be dashed, it means that the function have only the greater than sign(>) without the equal to sign(=).

Combining all the information above, the function for the line can be