Algebra 1 4.15 Parallel Lines Equations (point slope form)

Front

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

Back

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

Front

How do you find the slope of a line given its equation in slope-intercept form?

Back

In slope-intercept form, y = mx + b, the slope (m) is the coefficient of x.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

Given the line y = 3x + 1, what is the slope of a parallel line?

Back

The slope of a parallel line is also 3.

Front

How do you convert the equation of a line from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form (y - y1 = m(x - x1)), choose a point (x1, y1) on the line and substitute m, x1, and y1 into the point-slope formula.

Front

What is the equation of a line parallel to y = 2x + 3 that passes through the point (1, 2)?

Back

The equation is y - 2 = 2(x - 1).

Front

If a line has the equation y = -4x + 5, what is the slope of a line parallel to it?

Back

The slope of a parallel line is -4.

Front

How do you write the equation of a line in point-slope form given a slope and a point?

Back

Use the formula y - y1 = m(x - x1), substituting the slope (m) and the coordinates of the point (x1, y1).

Front

What is the slope of the line given by the equation y - 3 = 2(x - 1)?

Back

The slope of the line is 2.

Front

Given the line y = 5x + 2, write the equation of a parallel line passing through (3, 4) in point-slope form.

Back

The equation is y - 4 = 5(x - 3).