Question

Match the terms:

Linear relation
Y-intercept
Slope
Initial value
Match them to their definitions:
a) When both lines are straight
b) When both lines intersect
c) When it goes down
d) Starting intercept

Answer 1

In linear equations, the term Y-intercept matches with the starting intercept, while the Slope represents when the line's steepness changes as it goes up or down. Linear relation refers to when both lines are straight, and Initial value generally corresponds with the starting intercept, similar to the Y-intercept.

Step-by-step explanation:

To match the terms to their definitions in the context of linear equations:

• Linear relation is defined as a) When both lines are straight.
• The Y-intercept is d) the starting intercept where the line crosses the y-axis.
• Slope is described as the steepness of a line, which is b) when it goes down or up; a negative slope means the line is going down as it moves from left to right.
• Initial value can often be referred to as the Y-intercept since it is the value of Y when X is zero, so it corresponds to d) the starting intercept.

In summary, the y-intercept is where the line crosses the y-axis, and is labeled 'a' in the equation y = a + bx; and the slope is defined as rise over run, indicating the change in y for a unit change in x, represented by 'b' in the same equation.