Question

psat math midterm assessment
possible points 5
select the words from the drop - down lists to correctly complete the sentence.
with (ax + by = c), when you substitute (x = 0), you are solving for the (\boxed{quad}),
and when you substitute (y = 0), you are solving for the (\boxed{quad})
options: slope, y - intercept, rate of change, x - intercept

Explanation:

Step1: Analyze substituting \( x = 0 \)

When we substitute \( x = 0 \) into the equation \( Ax + By = C \), the equation becomes \( A(0)+By = C \), which simplifies to \( By = C \). Solving for \( y \) here gives the value of \( y \) when \( x = 0 \), which is the \( y \)-intercept (the point where the line crosses the \( y \)-axis, and at that point \( x = 0 \)).

Step2: Analyze substituting \( y = 0 \)

When we substitute \( y = 0 \) into the equation \( Ax + By = C \), the equation becomes \( Ax + B(0)=C \), which simplifies to \( Ax = C \). Solving for \( x \) here gives the value of \( x \) when \( y = 0 \), which is the \( x \)-intercept (the point where the line crosses the \( x \)-axis, and at that point \( y = 0 \)).

Answer:

First drop - down: y - intercept; Second drop - down: x - intercept