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Which of the following equations shows the function that as a y- intercept of -5 and the same slope as the line y = 4x -10? Hint: same slope (m = 4) *

Which of the following equations shows the function that as a y intercept of 5 and the same slope as the line y 4x 10 Hint same slope m 4 class=

Respuesta :

[tex]y\text{ = 4x-5}[/tex]

Here, we want to get the equation of a straight line

The general equation of a straight line is;

[tex]y\text{ = mx + b}[/tex]

where m is the slope and b is the y-intercept

We already have the y-intercept as -5

Now, if two lines are parallel, they have equal slope

So, the slope of the equation we are looking for is 4 too

Hence, the equation of the line we are looking for written in the general form is;

[tex]y\text{ = 4x-5}[/tex]

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