Question

57 Background Layout Theme Transition 3 INSTRUCTIONS: 1. Find the slope of the line and enter it here: 1. INSTRUCTIONS: Find the slope of the line and enter it here! INSTRUCTIONS: Find the slope of the line and enter it here! Find the y-intercept of the line & enter it here: Find the y-intercept of the line & enter it here: Find the y-intercept of the line de enter it here: Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b 28 29 30

Answer 1

The slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

from the graph we notice that the line passes thorugh the points (0,-4) and (4,0), then:

$\begin{gathered} m=\frac{0-(-4)}{4-0} \\ m=\frac{4}{4} \\ m=1 \end{gathered}$

therefore the slope is m=1.

The y-intecerpt is the value of y when x=0, from the graph we conclude that b=-4

The equation of the line is:

$y=x-4$