Help me please i need help

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

Answer:

-2 = -3(2) + 4

Step-by-step explanation:

Formula: y = mx + b, m = rise/run

Given: b = 4, rise = -3, run = 1

Sub: y = mx + 4

Find m.

Sub: m = -3/1

Simplify: m = -3

Sub: y = -3x + 4

Solve: -2 = -3(2) + 4

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What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

puteri [66]

Answer: The answer is (D) $y-1=\dfrac{3}{2}(x+3).$

Step-by-step explanation: We are given to find the equation of a line which is parallel to the line in the graph and passing through the point (-3, 1).

The points (-2, -4) and (2, 2) lie on the line in the graph, so its slope will be

$m=\dfrac{2+4}{2+2}=\dfrac{6}{4}=\dfrac{3}{2}.$

The slope of the line parallel to the line in the graph will also be same. Since the new line passes through the point (-3, 1), so the equation of the line will be

$y=1=m(x+3)\\\\\Rightarrow y-1=\dfrac{3}{2}(x+3),$