Question

Find the slope and y-intercept from the following graph of a linear equation.75341-5-4-3-24- 1X-2-3-4-5-6-7

Answer 1

The slope is calculated by picking two coordinate points that lie on the straight line:

`\begin{gathered} slope(m)=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ (x_1,y_1)=(1,7);(x_2,y_2)=(0,3) \\ slope(m)=(3-7)/(0-1)=(-4)/(-1)=4 \\ slope(m)=4 \end{gathered}`

The y-intercept is obtained at the point x = 0 or at the point where the line touches the y-axis. From the graph, the y-intercept is 3