The equation of the straight line passing through the origin point and its slope \( =1 \) is \( \begin{array}{llll}\text { (a) } y=x & \text { (b) } y=-x & \text { (c) } y=2 x & \text { (d) } y=0\end{array} \)

The equation of a straight line passing through the origin with a slope of \( 1 \) can be expressed in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Since the line passes through the origin, the y-intercept \( b \) is \( 0 \). Thus, the equation simplifies to \( y = 1x \) or simply \( y = x \). Speaking of steep slopes, have you ever tried to walk up a hill with a 45-degree incline? That's the same angle that a slope of \( 1 \) would represent on a graph, creating the perfect visual of balance and symmetry as you trek your way up, both in math and life! If you’re looking for practical ways to apply knowing the slope of a line, think about real-world scenarios such as architecture or engineering. When designing ramps for accessibility, the slope needs to be calculated accurately to ensure safety and compliance. Mastering slope concepts can help you design engaging, functional spaces for all!