14. Solve the following equations. (a), 7x + 8 = 10 + 3x
2 answers:
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Answer:
C) straight line through (1, 3) ... (-3, -7)
Step-by-step explanation:
The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.
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<h3>intercepts</h3>The x-intercept is the value of x that satisfies the equation when y=0.
-5x +2·0 = 1
x = -1/5 . . . . . . divide by the coefficient of x
The y-intercept is the value of y that satisfies the equation when x=0.
-5·0 +2y = 1
y = 1/2 . . . . . . divide by the coefficient of y
<h3>nature of the graph</h3>The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.
Of the offered answer choices, A and B are eliminated because the graph is <em>not a curve</em>. D is eliminated because the suggested points have coordinates with <em>opposite signs</em>. The correct choice is C:
It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)
