Question

4. Write the standard from of the equation of the line through the given point with the given slope.

a. Point=(-4,4), Slope= -7/4


b. Point=(1,2), Slope= 6

Answer 1

b. −6x + y = −4

a. 7x + 4y = −12

Explanation:

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

__________________________________________________________

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

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