Question

]Choose the equation of the line passing through the point (-4, -2) and parallel to y = 1/4x + 2.

y = 4x - 1

y = 4x - 3

y =1/4 x - 3

y =1/4 x - 1

Answer 1

We work with the slope-intercept form of the line:

y = mx + b

where "m" is the slope and "b" is the y-intercept. Since we want a parallel line, we will have the same slope of m = 1/4.

Now, we use the point-slope form:\[y - y _{1} = m(x - x _{1})\]
y - (-2) = m(x - (-4))

y + 2 = (1/4)x + 1

y = (1/4)x - 1 the last selection.

Answer 2

i need help with only two more questions, would you like to help?

Answer 3

Sure! Fire away!

Answer 4

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2


y = 1/2x + 5

y =1/2 x - 3

y =1/2 x - 5

y =1/2 x + 3

Answer 5

and ]Choose the equation of the line passing through the point (-1, 7) and perpendicular to y = -1/4x - 5.

y = -4x - 11

y = -4x - 3

y = 4x + 11

y = 4x + 3

Answer 6

For the first of these 2. Similar to the last problem, using the point-slope form:

y - (-4) = (1/2)(x - 2)

y + 4 = (1/2)x - 1

y = (1/2)x - 5

Answer 7

For the second of these last 2, Similar, but here we have to find the slope. We are being asked to get a perpendicular line which will have a negative reciprocal for the slope or "4" because (4)(-1/4) = -1.

y - 7 = 4(x - (-1))

y - 7 = 4x + 4

y = 4x + 11

Answer 8

Write the equation of the line in slope-intercept form with a slope of -5 and a y-intercept of -1.

Answer 9

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Answer 10

You're entirely welcome!