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Please help out if you are any good with linear equations. Showing/explaining your work would be greatly appreciated!

Please help out if you are any good with linear equations. Showing/explaining your-example-1
User Inselberg
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1 Answer

3 votes

Answer:

y < -2/3x +4

Explanation:

The line intersects the y-axis at y=4, so that is the y-intercept.

The line drops 2 units for each 3 units to the right, so the slope is ...

(change in y)/(change in x) = -2/3

The slope-intercept form of the equation for a line is a form you have memorized:

y = mx + b . . . . . . for slope m and y-intercept b

Using the values we read from the graph, the equation of the line is ...

y = -2/3x + 4

The line is dashed, so the inequality does not include points on the line. The solution just includes y-values less than (below) those on the line. Hence the inequality is ...

y < (-2/3)x +4

User Flora
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