2. Graphs of Equations

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−3, 6) and (3, −2)

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. through (- 5/2 , 3), undefined slope

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. through (3, -4), m = - 1/3

Graph each line. Give the domain and range. x = -4

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (4, 1), parallel to y=-5

Fill in the blank(s) to correctly complete each sentence. The graph of the line y= -2x+7 has slope ______ and y-intercept ______.

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−2, −4) and (1, −1)

Find the slope of each line, provided that it has a slope. through (8, 7) and (1/2, -2)

Give the slope and y-intercept of each line whose equation is given. Assume that B ≠ 0. Ax = By - C

For each line described, write an equation in (a) slope-intercept form, if possible, and (b) standard form. through (3, -5), parallel to y = 4

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. 6x³+25x²−24x+5=0

Graph a line with a slope of 0 that passes through the point $\(\left\)(3,-2\(\right\))$.

For each line described, write an equation in

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

(b)standard form.

through $(0,5)$, perpendicular to $8x+5y=3$

Match each equation with the sketch that most closely resembles its graph. x = 5

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. x-intercept = -1/2 and y-intercept = 4