Writing Equations in Point-Slope Form parallel and perpendicular

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line parallel to y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line perpendicular to y = -4x + 1?

Back

The slope of a line perpendicular to y = -4x + 1 is 1/4.

Tags

CCSS.8.EE.B.6

Front

Write the equation of the line in point-slope form that passes through (1, 2) with a slope of 3.

Back

y - 2 = 3(x - 1).

Front

If a line has a slope of 5 and passes through the point (2, 3), what is its equation in point-slope form?

Back

y - 3 = 5(x - 2).

Front

What is the y-intercept of the line y = 4x + 7?

Back

The y-intercept is 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of the line that is parallel to y = 3x + 1 and passes through (2, 5).

Back

y = 3x - 1.

Front

Write the equation of the line that is perpendicular to y = 1/2x + 3 and passes through (4, 2).

Back

y = -2x + 10.