Answered

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Write the equation in slope-intercept form and then graph the equation that passes through (5, -7) and is parallel to to y = −4x + 3

Sagot :

The slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the intercept.

For two lines to be parallel they have to have the same slope. So a line parallel to

[tex]y=-4x+3[/tex]

Has m = -4. So until now we have this equation:

[tex]y=-4x+b[/tex]

To find the intercept b we use the given point (5,-7). We just have to replace these values of x and y into the equation above and solve for b:

[tex]\begin{gathered} -7=-4\cdot5+b \\ -7+20=b \\ 13=b \end{gathered}[/tex]

So there we have the complete equation of the asked line:

[tex]y=-4x+13[/tex]

And the graph is:

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