Math 3 Lessons 2.8 to 2.12 Flashcard 2024

Front

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

Back

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

Front

How do you identify the slope from the equation y = 2/3x - 3?

Back

The slope is the coefficient of x, which is 2/3.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning they can be expressed as y = kx, where k is the constant of proportionality.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values and if it passes through the origin (0,0).

Front

What is the constant of proportionality in the relationship y = 3x?

Back

The constant of proportionality is 3.

Front

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 1?

Back

The equation is y = -2x + 1.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

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

Back

To convert y = mx + b to standard form Ax + By = C, rearrange the equation to get x and y on the same side.