Warm up Alg 1 11/6

Front

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

Back

The slope-intercept form of a linear equation is given by 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 = mx + b?

Back

The slope is represented by the coefficient m in the equation y = mx + b.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

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

Back

The y-intercept is the value of y when x = 0, which is represented by b in the equation y = mx + b.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one line has a slope of m, the other line's slope will be -1/m.

Front

How can you write an equation for a line given a slope and a y-intercept?

Back

You can write the equation in slope-intercept form: y = mx + b, substituting the given slope for m and the y-intercept for b.

Front

What is the equation of a line with a slope of -3 and a y-intercept of 1?

Back

The equation is y = -3x + 1.

Front

How do you model a situation where a quantity increases at a constant rate?

Back

You can model it with a linear equation of the form y = mx + b, where m is the rate of increase.

Front

If it snows 2 inches per hour after 10:00 pm, how would you express this situation mathematically?

Back

The equation would be y = 2x + 8.6, where y is the total snow accumulation after x hours.