Q:

4. 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= 6

Accepted Solution

A:
Answer:b. βˆ’6x + y = βˆ’4a. 7x + 4y = βˆ’12Step-by-step explanation:Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:b. 2 = 6[1] + b 6βˆ’4 = by = 6x - 4-6x - 6x_________βˆ’6x + y = βˆ’4 >> Standard Equation__________________________________________________________a. 4 = βˆ’7⁄4[-4] + b 7βˆ’3 = by = βˆ’7⁄4x - 3+7⁄4x +7⁄4x____________7⁄4x + y = βˆ’3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]4[7⁄4x + y = βˆ’3]7x + 4y = βˆ’12 >> Standard EquationI am joyous to assist you anytime.