Question

The following 3 equations are in point-slope form. What points must each equation pass through?
b. y = 5x
*
1 point
(0, 0)
(5, 0)
(0, 5)
None of the above

Answer 1

The equation given is in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. The equation \( y = 5x \) can be rearranged to recognize that it has a slope of 5 and a y-intercept of 0.

From this equation, we can deduce the following:

1. When \( x = 0 \), \( y = 5(0) = 0 \), which gives the point (0, 0).
2. When \( y = 0 \), we can set the equation to find \( x \): \( 0 = 5x \) which gives \( x = 0 \), so again, we arrive at (0, 0).
3. The slope indicates that for every 1 unit increase in \( x \), \( y \) increases by 5 units.

Since the equation is \( y = 5x \), it passes through the point (0, 0).

So, the answer is **(0, 0)**.