CH 1 Review Flashcardizz

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is zero.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is zero.

Front

How do you find the x-intercept of the equation y = mx + b?

Back

Set y = 0 and solve for x: 0 = mx + b, which gives x = -b/m.

Front

How do you find the y-intercept of the equation y = mx + b?

Back

Set x = 0 and solve for y: y = m(0) + b, which gives y = b.

Front

What is the vertex of a parabola in the form y = ax^2 + bx + c?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c indicate?

Back

The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

How do you factor the quadratic expression x^2 - x - 20?

Back

To factor, find two numbers that multiply to -20 and add to -1: (x - 5)(x + 4).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).