Questions: Use the sliders to set the equation y=2x+5. Use the graph to determine c so that the point (-4, c) is a point on the line.

Transcript text: Use the sliders to set the equation $y=2 x+5$. Use the graph to determine $c$ so that the point $(-4, c)$ is a point on the line.

Solution

Solution Steps

To determine the value of $ c $ such that the point $(-4, c)$ lies on the line given by the equation $ y = 2x + 5 $, we need to substitute $ x = -4 $ into the equation and solve for $ y $.

Step 1: Substitute $ x = -4 $ into the Equation

Given the equation of the line $ y = 2x + 5 $, we substitute $ x = -4 $ to find the corresponding $ y $-coordinate.

Step 2: Solve for $ y $

\[ y = 2(-4) + 5 \] \[ y = -8 + 5 \] \[ y = -3 \]

Final Answer

$\boxed{c = -3}$

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