BackWrite an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.
Exercises 143–145 will help you prepare for the material covered in the next section. Solve for y: 3x + 2y − 4 = 0.
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)
Give the slope and y-intercept of each line whose equation is given. Assume that B ≠ 0. Ax = By - C
Graph each linear function. 6x-5f(x) - 20 = 0
If one point on a line is (2, −6) and the line's slope is -3/2, find the y-intercept.
Graph each equation in a rectangular coordinate system. f(x) = 1
In Exercises 59-66, a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. 4y+ 28 = 0
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ passes through (−1, 5) and is perpendicular to the line whose equation is x = 6.
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ passes through (−6, 4) and is perpendicular to the line that has an x intercept of 2 and a y-intercept of -4.
Exercises 143–145 will help you prepare for the material covered in the next section. Find the ordered pairs ( ______, 0) and (0, _______) satisfying 4x-3y-6=0.
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = - 3/5, passing through (10, −4)
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)
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)
Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = (3/4)x-2