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write an equation in slope-intercept form for the line that is parallel to y= -4x -3 and that passes through the point (-2,4)

write an equation in slope-intercept form for the line that is parallel to y= -4x-example-1
User Alamgir Qazi
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1 Answer

12 votes
12 votes

The equation of the line given is,


y=-4x-3

We were told that a line is parallel to the equation.

Therefore, from the equation above, the slope of the line is


m_1=-4

Rule for paralel line


m_1=m_2

Hence, the slope (m2) is


-4

Also, the line passes through the point (-2,4).

The formula to calculate the equation in sope-intercept dform is,


y-y_1=m(x-x_1)

where,


(x_1,y_1)=(-2,4)

Therefore,


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

Simplify


\begin{gathered} y-4=-4(x+2) \\ y-4=-4x-8 \\ y=-4x-8+4 \\ y=-4x-4 \end{gathered}

Hence, the equation of theline is


y=-4x-4\text{ \lparen Option 3\rparen}

User LoPoBo
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