MATH SOLVE

3 months ago

Q:
# 3. Write the slope-intercept form of the equation of the line described.a. Point= (1,-1), parallel to y=-6x+1b. Point= (4,5), parallel to y=1/2x+34. Write the standard from of the equation of the line through the given point with the given slope.a. Point=(-4,4), Slope= -7/4b. Point=(1,2), Slope= 65. Write the equation of the line.a. Point= (-3,3), parallel to y=0b. Point= (5,-2), perpendicular to x=0

Accepted Solution

A:

Answer:5b. y = β25a. y = 34b. β6x + y = β44a. 7x + 4y = β123b. y = Β½x + 33a. y = β6x + 5Step-by-step explanation:5.b. y = β2a. y = 3* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], but in this case, since the slope is undefined [5b], we just take the y-coordinate of the ordered pair.* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], but in this case, since the slope is zero [5a], we just take the y-coordinate of the ordered pair.__________________________________________________________4.Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:b.2 = 6[1] + b 6β4 = by = 6x - 4-6x - 6x_________β6x + y = β4 >> Standard Equationa.4 = β7β4[-4] + b 7β3 = by = β7β4x - 3+7β4x +7β4x____________7β4x + y = β3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]4[7β4x + y = β3]7x + 4y = β12 >> Standard Equation* 1ΒΎ = 7β4__________________________________________________________3.Plug both coordinates into the Slope-Intercept Formula:b.5 = Β½[4] + b 23 = by = Β½x + 3 >> EXACT SAME EQUATIONa.β1 = β6[1] + b β65 = by = β6x + 5* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES].I am joyous to assist you anytime.