Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.

Question

Quizplus · Accepted Answer

Since the given line is not given, we cannot determine the slope. Therefore, we cannot determine the equation of the parallel line. However, we can still use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the parallel line. Since the line is parallel to the given line, it has the same slope. Therefore, we only need to substitute the point and solve for b to get the slope-intercept form of the equation. The equation is y - 1 = 2(x - 3), which simplifies to y = 2x - 5. Therefore, the answer is B.

Find an Equation of the Line That Passes Through the Given