Question

The line parallel to y=-2/5x+7 that passes through the point (-1,3)

Answer 1

y=-2/5x +13/5

Explanation:

y= -0.4x+b

3=0.4+b

b=2.6

y=-2/5x +13/5

Answer 2

Answer:
`\text{y} = -(2)/(5)\text{x}+(13)/(5)`

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Work Shown:

I'll be using point slope form to get these steps

`\text{y}-\text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y}-3 = -(2)/(5)(\text{x}-(-1))\\\\\text{y}-3 = -(2)/(5)(\text{x}+1)\\\\\text{y}-3 = -(2)/(5)\text{x}-(2)/(5)*1\\\\\text{y}-3 = -(2)/(5)\text{x}-(2)/(5)\\\\`

`\text{y} = -(2)/(5)\text{x}-(2)/(5)+3\\\\\text{y} = -(2)/(5)\text{x}-(2)/(5)+(15)/(5)\\\\\text{y} = -(2)/(5)\text{x}+(-2+15)/(5)\\\\\text{y} = -(2)/(5)\text{x}+(13)/(5)\\\\`

This answer has a slope of -2/5 and y intercept of 13/5.

Parallel lines have equal slopes but different y intercepts.

To verify this equation, plugging in x = -1 leads to y = 3.