2. Graphs of Equations

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. through ( - 1/2 , 4), m = 0

Find the average rate of change of the function from x₁ to x₂. f(x) = √x from x₁ = 4 to x₂ = 9

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (1, 6), perpendicular to 3x+5y=1

For each line described, write an equation in

(a)slope-intercept form, if possible, and

(b)standard form.

through $(2,-10)$, perpendicular to a line with undefined slope.

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−8, −10) and parallel to the line whose equation is y = −4x + 3

Find the slope of the line passing through each pair of points or state that the slope is undefined. Assume that all variables represent positive real numbers. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-a, 0) and (0, -b)

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. slope 0, y-intercept (0, 3/2)

Find the slope and y-intercept of each line, and graph it. 4y = -3x

In Exercises 17–24, a) List all possible rational roots. b) List all possible rational roots. c) Use the quotient from part (b) to find the remaining roots and solve the equation. x⁴−2x³−5x²+8x+4=0

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

Find the slope and y-intercept of each line, and graph it. x+2y = -4

Find the slope of the line shown below.

In the graph shown, identify the y–intercept & slope. Write the equation of this line in Slope-Intercept form.

For each line described, write an equation in (a) slope-intercept form, if possible, and (b) standard form. through (3, -5) with slope -2.

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