From the graph
The line passing through points (-1, 4) and (4, -4)
We will use these points to find the slope of the line
The rule of the slope is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-1 \\ y_1=4 \\ x_2=4 \\ y_2=-4 \end{gathered}[/tex]
Let us substitute these values in the rule
[tex]m=\frac{-4-4}{4-(-1)}=\frac{-8}{5}=-1.6[/tex]
The form of the equation is
y = m x + b
m is the slope
b is the y-intercept
Substitute m by -1.6
y = -1.6 x + b
To find b substitute x and y by the coordinates of a point on the line
x = -1 , y = 4
4 = -1.6(-1) + b
4 = 1.6 + b
Subtract 1.6 from both sides
4 - 1.6 = 1.6 - 1.6 + b
2.4 = b
Substitute the value of b in the equation
y = -1.6 x + 2.4
The slope = -1.6
y-intercept = 2.4
Equation : y = -1.6 x + 2.4
