Question

Write the equation of the line in fully simplified slope-intercept form. 12 ENW A cavo 11 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 8 9 10 11 12 1 -3 -4 6 -7 8 Lilo -11 -12

Answer 1

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

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

From the graph, the line passes through the points (0, 8) and (3, 3), then its slope is:

`m=(3-8)/(3-0)=-(5)/(3)`

From the graph, the line intersects the y-axis at (0,8), then b = 8.

Finally, the equation is:

`y=-(5)/(3)x+8`