Question

Use your scatter plot of the temperature in 'n de in degrees North 2. The vertical intercept ans1°F The horizontal intercept ans2 °N

Answer 1

From the graph, the vertical intercept is 120°F

The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

$m=\frac{y_2-y_1}{x_2-x_!}$

From the graph, the line passes through the points (0, 120) and (55, 60), then its slope is:

$m=\frac{60-120}{55-0}=-\frac{12}{11}$

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept. In this case, the equation is

y = -12/11x + 120

Substituting with y = 0, we get:

$\begin{gathered} 0=-\frac{12}{11}x+120 \\ -120=-\frac{12}{11}x \\ (-120)\cdot(-\frac{11}{12})=x \\ 110=x \end{gathered}$

The horizontal intercept is 110°N