5)Write the equation of a line, which is parallel to 2x -4y =12 and passing through the point (4,3) in standard form using integers?

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rewrite in slope-intercept form. This will make it easier for us to identify the slope.

Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Subtract 2x from both sides to isolate -4y

Divide both sides by -4 to isolate y

Now, we can see clearly that is in the place of m in , making it the slope of the line.

Because parallel lines have the same slopes, we know that the line we're determining will also have a slope of .

2) Determine the y-intercept (b)

Plug into

Plug in the given point (4,3)

Subtract 2 from both sides

Therefore, the y-intercept (b) is 1. Plug this back into

I hope this helps!

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step-by-step explanation: