Lesson 3-4

Equations of Lines

Ohio Content Standards:

Ohio Content Standards:

Recognize and apply angle relationships in situations involving

intersecting lines, perpendicular lines and parallel lines.

Ohio Content Standards:

Solve and graph linear equations and inequalities.

Ohio Content Standards:

Write and use equivalent forms of equations and inequalities in problem

situations; e.g., changing a linear equation to the slope-intercept form.

Ohio Content Standards:

Describe and interpret rates of change from graphical and numerical data.

Ohio Content Standards:

Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are

negative reciprocals.

Slope-Intercept Form

Slope-Intercept Form

y = mx + b, where m is the slope of the line

and b is the y-intercept.

Point-Slope Form

Point-Slope Form

y – y1 = m (x – x1),

where (x1, y1) are the coordinates of any point on the line and m is

the slope of the line.

Write an equation in slope-intercept form of the line with

slope of 6 and y-intercept of -3.

Write an equation in point-slope form of the line whose slope is -

3/5 that contains (-10, 8).

Write an equation in slope-intercept form for a line

containing (4, 9) and (-2, 0).

Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line

y = -1/2 x + 1.

An apartment complex charges $525 per month plus a $750

security deposit.

An apartment complex charges $525 per month plus a $750

security deposit.

Write an equation to represent the total annual cost A for

r months of rent.

Assignment:Assignment:

Pgs. 148-150 Pgs. 148-150 16-42 evens, 16-42 evens, 56-70 evens56-70 evens