2. Graphs of Equations

Lines

Multiple Choice
In the graph shown, identify the y–intercept & slope. Write the equation of this line in Slope-Intercept form.
Multiple Choice
Identify the 𝒚– intercept & slope of $y=-2x-3$ . Then graph the equation.
Multiple Choice
Write the point-slope form of the equation of a line with a slope of $-\frac25$ that passes through (1, 3). Then graph the equation.
Multiple Choice
Write the point-slope form of the equation of a line with a slope of $0$ that passes through $\left(2,-4\right)$ . Then graph the equation.
Multiple Choice
Write the point-slope form of the equation of a line that passes through the points $\left(2,1\right)$ and $\left(-4,3\right)$ . Then graph the equation.
Multiple Choice
Find the slope & $y-intercept$ of the line given by the equation $3x+2y-6=0$
Multiple Choice
Graph the equation $9x+6y+18=0$ by finding the intercepts.
Open Question
In Exercises 1–4, write an equation for line L in point-slope form and slope-intercept form.
Open Question
In Exercises 1–10, find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-2, 1) and (2, 2)
Open Question
In Exercises 9–12, use the given conditions to write an equation for each line in point-slope form and general form. Passing through (−2, 2) and parallel to the line whose equation is 2x-3y-7=0
Open Question
Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (1,3), m = -2
Open Question
Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-5,4), m = -3/2
Open Question
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = 8, passing through (4, −1)
Open Question
In Exercises 13-18, find the average rate of change of the function from 1 to 2. f(x) = x² + 2x from x₁ = 3 to x2 = 5
Open Question
Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-8,4), undefined slope