Write all linear equations in slope-intercept form.
-By reading a graph on defense spending in the country of Warpeas, you discover that in year 0 the country spent $235 million on defense and in year 8 spent $611 million. Write a linear function that relates y (in millions
Of dollars) to x.
A) $y = - 47 x - 235$
B) $y = \frac { 1 } { 5 } x + 235$
C) $y = 47 x + 235$
D) $y = \frac { 423 } { 4 } x + 235$

Question

Write all linear equations in slope-intercept form.
-By reading a graph on defense spending in the country of Warpeas, you discover that in year 0 the country spent $235 million on defense and in year 8 spent $611 million. Write a linear function that relates y (in millions
Of dollars) to x. 
A) $y = - 47 x - 235$
B) $y = \frac { 1 } { 5 } x + 235$
C) $y = 47 x + 235$
D) $y = \frac { 423 } { 4 } x + 235$

Quizplus · Accepted Answer

The slope ($m$) of the line is calculated by the change in spending over the change in years, which is $\frac{611 - 235}{8 - 0} = \frac{376}{8} = 47$. The y-intercept ($b$) is the spending at year 0, which is $235 million. Therefore, the equation is $y = 47x + 235$.

Write All Linear Equations in Slope-Intercept Form y=−47x−235y = - 47 x - 235y=−47x−235

Write All Linear Equations in Slope-Intercept Form $y = - 47 x - 235$