Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.
y = 3/4x + 1
3x − 4y = −4
4x − 3y = −3
y – 2 = –3/4(x – 4)
y + 2 = 3/4 (x+4)

Option A: is the equation of the line.

Option E: is the equation of the line.

Explanation:

Given that the line is and passes through the point

We need to determine the equation of the line.

Formula:

The equation of the line can be determined using the formula,

Slope:

Since, the lines are parallel, from the equation , we shall determine the slope.

Thus, we have,

Thus, the slope of the equation is

Equation of line:

Substituting and the point in the formula, we get,

Hence, the equation of line is

Thus, Option E is the correct answer.

Let us write the equation of line in slope - intercept form.

Thus, we have,

Thus, the equation of the line is

Hence, Option A is the correct answer.

step-by-step explanation:

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