Intersections 49433

Draw a graph of the function given by the equation y = -2x +3, determine its intersections with the coordinate axes, and complete the missing coordinates A [3 ;? ], B [? ; 8].

Correct answer:

x₀ =  0
y₀ =  3
x₁ =  1.5
y₁ =  0
Ay =  -3
Bx =  -2.5

Step-by-step explanation:

$x_0=0$

$y_0=-2\cdot x_0+3=-2\cdot 0+3=3$

$$\begin{gathered} y_1=0 \\ {x}_1=(y_1-3)/(-2)=(0-3)/(-2)=1.5 \end{gathered}$$

$$\begin{gathered} A_x=3 \\ Ay=A_y=-2\cdot A_x+3=-2\cdot 3+3=-3 \end{gathered}$$

$$\begin{gathered} B_y=8 \\ Bx=B_x=(B_y-3)/(-2)=(8-3)/(-2)=-2.5 \end{gathered}$$

Try another example