MTH101 Lesson 4 Lines

Welcome to your MTH101 Lesson 4 Lines

What is the general form of a straight line?

What is the slope-intercept form of a line?

What does “m” represent in y = mx + c?

What is the slope of the x-axis?

What is the slope of the y-axis?

The line x = 0 represents:

What is the y-intercept of y = 3x + 4?

What is the slope of y = –2x + 5?

What is the slope of a line parallel to y = 4x + 3?

Two lines are perpendicular if:

A line parallel to the x-axis has slope:

A line parallel to the y-axis has slope:

Equation of a line through the origin is:

If a line has slope 1, it makes an angle of:

The line y = 2x passes through which point?

The slope of line joining (x₁, y₁) and (x₂, y₂) is:

If slope m = 0, the line is:

If slope is undefined, the line is:

Equation of a line parallel to y = 2x + 3 and passing through (0, –4):

Equation of a line perpendicular to y = –½x + 4:

Line through (1, 2) with slope 3:

Find slope of line passing through (2,3) and (5,9).

If line passes through (0, 5), y-intercept is:

The equation x + y = 4 has slope:

Equation of a line parallel to x + y = 3 is:

Line y = 3x – 1 cuts y-axis at:

The line 2x + 3y = 6 intersects x-axis at:

The same line intersects y-axis at:

The equation of line parallel to y-axis passing through (3,4):

The equation of line parallel to x-axis passing through (2,5):

The slope of 3x + 2y = 6 is

Line y = –x + 3 cuts x-axis at

Angle between x-axis and y = x is

Find slope of line joining (–2, 1) and (3, 4).

Find slope of line joining (–2, 1) and (3, 4).

Equation of line through (1,2) and (3,6):

Equation of line with slope ½ and y-intercept 3:

Line perpendicular to y = 3x + 1 passes through origin:

Line parallel to 2x – y + 4 = 0 through (0,3):

Find x-intercept of 4x – 3y = 12.

Find y-intercept of same line.

Equation of line through (2,3) and parallel to y = –x + 4:

Distance of point (3,4) from line 3x + 4y – 5 = 0:

Angle between lines y = x and y = –x is:

Line joining (0,0) and (2,4) has slope:

Find equation of line perpendicular to y = –2x + 1 passing through (0,2).

Equation of line with slope 3 and passing (–1, 2):

Equation of line passing through (0,0) and making 60° with x-axis:

Equation of line making 45° angle and y-intercept 2:

If two lines have slopes m₁ = 2 and m₂ = 2, they are:

Equation of line passing through (0,0) and making 60° with x-axis: