Answer:
2x + 3y = -10
Step-by-step explanation:
First convert the line into slope intercept form to find the slope of the line.
2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.
Now convert the line into standard form by using the distributive property.
Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
