Writing Equations in Slope Intercept Form

The video tutorial explains how to write equations in slope-intercept form using two main approaches: directly using given slope and y-intercept, and converting from point-slope form. It covers finding slope and y-intercept from graphs, handling complex examples, and working with fractions. The tutorial emphasizes understanding the relationship between different forms of linear equations and provides step-by-step examples to illustrate the concepts.

What are the two main approaches to writing equations in slope-intercept form?

• Using the slope and a random point or using the x-intercept

• Using the slope and y-intercept directly or using point-slope form

• Using the x-intercept and y-intercept or using point-slope form

• Using the slope and x-intercept directly or using point-slope form

If the slope is 8 and the y-intercept is -7, what is the equation in slope-intercept form?

• y = 8x - 7

• y = -8x - 7

• y = 8x + 7

• y = -8x + 7

Given the slope is 3/4 and the y-intercept is -3, what is the equation in slope-intercept form?

• y = -3/4x - 3

• y = 3/4x + 3

• y = 3/4x - 3

• y = -3/4x + 3

How do you find the slope from a graph?

• Find the x-intercept and y-intercept

• Count the run over rise between two points

• Use the formula y2 - y1 over x2 - x1

• Count the rise over run between two points

What is the slope of a line that goes down 2 units and over 5 units to the right?

• -5/2

• 2/5

• -2/5

• 5/2

Given points (-2, 4) and (0, -3), what is the slope of the line?

• -7

• 7/2

• 7

• -7/2

If the slope is -7/2 and the y-intercept is -3, what is the equation in slope-intercept form?

• y = 7/2x + 3

• y = -7/2x - 3

• y = 7/2x - 3

• y = -7/2x + 3

What is the slope of a line passing through points (0, 5) and (4, 17)?

• 3

• -3

• 4

• -4

Given points (0, -2) and (8, -4), what is the slope of the line?

• 3/4

• -3/4

• 2/3

• -2/3

What is the equation of a line with slope 2/3 passing through the point (-5, -2)?

• y = 2/3x + 4/3

• y = 2/3x + 2

• y = 2/3x - 2

• y = 2/3x - 4/3