Alg 1.Equation of the line given slope & a point& Finding Slopes

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Given a slope of 3 and a point (0, 9), what is the equation of the line?

Back

The equation of the line is y = 3x + 9.

Front

How do you write 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 point-slope form of a line?

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

If a line has a slope of -2 and passes through (3, -1), what is the equation?

Back

The equation is y = -2x + 5.

Front

What is the slope of a line that rises 4 units for every 1 unit it runs?

Back

The slope is 4.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.