Question

enter the correct answers that complete the sentence below. the graph of the line $y = -2x + 5$ has a slope of $\square$ and a y - intercept of $\square$. (type an ordered pair.)

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept (the point where the line crosses the y - axis, and its x - coordinate is 0, so the ordered pair is \((0,b)\)).

Step2: Identify slope and y - intercept from \(y=-2x + 5\)

For the equation \(y=-2x + 5\), comparing with \(y=mx + b\), we can see that \(m=-2\) (this is the slope) and \(b = 5\). The y - intercept as an ordered pair is \((0,5)\) because when \(x = 0\), \(y=5\).

Answer:

The graph of the line \(y=-2x + 5\) has a slope of \(-2\) and a y - intercept of \((0,5)\).