Exploring Linear Equations in Writing

This video tutorial covers writing equations of lines, focusing on slope-intercept form and point-slope form. It explains how to use given slopes and y-intercepts to form equations, and how to find the y-intercept when only a point is provided. The tutorial also introduces point-slope form as an alternative method and demonstrates calculating slope from two points. Finally, it shows how to use graphs to determine slope and y-intercept, emphasizing the importance of slope in forming line equations.

Given the slope -2/3 and y-intercept (0,1), what is the equation of the line?

• y = -2/3x + 1

• y = 2/3x + 1

• y = 2/3x - 1

• y = -2/3x - 1

What is the general form of the slope-intercept equation?

• x = my + b

• y = mx + b

• b = mx + y

• y = bx + m

In the equation y = mx + b, what does 'b' represent?

• The origin

• The y-intercept

• The x-intercept

• The slope

If the slope is 2 and the point given is (-1, 3), what is the y-intercept?

• 1

• 7

• 3

• 5

What is the equation of the line with slope 2 passing through the point (-1, 3)?

• y = 2x + 3

• y = 2x + 5

• y = -2x + 5

• y = -2x + 3

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

• y = m(x - x1) + y1

• x - x1 = m(y - y1)

• y = mx + b

• y - y1 = m(x - x1)

How do you find the slope between two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

Given points (4, 1) and (0, 0), what is the slope of the line?

• 1/4

• 4

• -1/4

• -4

What is the equation of the line passing through points (4, 1) and (0, 0) in slope-intercept form?

• y = -4x

• y = x/4

• y = -x/4

• y = 4x

If a line has a slope of -3/2 and a y-intercept of 4, what is its equation?

• y = -3/2x - 4

• y = 3/2x - 4

• y = 3/2x + 4

• y = -3/2x + 4