Question

Y 8+ 6+ 2 -8 -6 2 4 6 8 4 -6+ -8+ Write an equation that represents the line. Use exact numbers.

Answer 1

y = (3/4)x + 2

Step-by-step explanation:

The equation of a line has the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope of a line can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line. So, replacing (x1,y1) by (0, 2) and (x2, y2) by (4, 5) we get:

`m=(5-2)/(4-0)=(3)/(4)`

On the other hand, the y-intercept is the value of y where the line crosses the y-axis. In this case, it crosses the y-axis at y = 2, so the value of b is 2.

Finally, the equation of the line is:

y = (3/4)x + 2