Soru
Consider the system of equations. y=-2x+4 3y+x=-3 Which statement is true of this system of equations? Both equations are in slope-intercept form. The first equation converted to slope-intercept form is y+2x=4 The second equation converted to slope-intercept form is y=-(1)/(3)x-1 Neither equation is in slope-intercept form.
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4.1
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Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine which statement is true about the system of equations, we need to analyze each equation and see if it is in slope-intercept form.The slope-intercept form of a linear equation is given by:
where
is the slope and
is the y-intercept.Let's analyze each equation:1.
This equation is already in slope-intercept form, with a slope of
and a y-intercept of
.2.
To convert this equation to slope-intercept form, we need to isolate
:
Now let's evaluate the statements:A. Both equations are in slope-intercept form. This statement is false because the second equation is not initially in slope-intercept form.B. The first equation converted to slope-intercept form is
. This statement is false because the correct conversion of the first equation to slope-intercept form is
.C. The second equation converted to slope-intercept form is
. This statement is true because we derived this form from the second equation.D. Neither equation is in slope-intercept form. This statement is false because the first equation is already in slope-intercept form.Therefore, the correct answer is:C. The second equation converted to slope-intercept form is
.