+884 In the graph below, each grid line counts as one unit. The line shown below passes through the point \((1001,n)\) (not shown on graph). Find n .
+128456 Note that the line passes through the points (0,3) and (7,7)
So.....the slope if this line is [7 -3 ] / [7 - 0] = 4/7
And using the point (0,3) the equation of the line is
y = (4/7)x + 3
And when x = 1001
y = (4/7)(1001) + 3 = 573
So (1001, n) = (1001, 573)
+26367 In the graph below, each grid line counts as one unit.
The line shown below passes through the point (not shown on graph).
Find n .
The line passes through the points (0,3) and (-7,-1)
\(\begin{array}{|rcll|} \hline \text{slope } = \frac{3-(-1)}{0-(-7)} &=& \frac{n-3}{1001-0} \\ \frac{3-(-1)}{0-(-7)} &=& \frac{n-3}{1001-0} \\ \frac{4}{7} &=& \frac{n-3}{1001} \\ 1001\cdot \frac{4}{7} &=& n-3 \\ 3+ 1001\cdot \frac{4}{7} &=& n \\ \mathbf{575} & \mathbf{=} & \mathbf{n} \\ \hline \end{array}\)
