C. f(x)=2/3x-2
<h2>Explanation:</h2>Looking at the graph we realize that the y-intercept is given by:
The Slope-intercept form of the equation of a line is given by:
So, our equation becomes:
So the only option that matches a negative y-intercept is C. Let's see that the slope . Look at the y-intercept, if you increase x by 3 units, then y increases by 2 units and goes from
to
. In other words:
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Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. ⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.