the point R (7,4) is contained in line m that is parallel to line y=3x. Which of the following equations best represents line m.

Answer 1

Since the line is parallel to y=3x it will have the form y=3x+B. Since the point (7,4) belongs on the line we have that 4=21+B or B=-17. Thus, our line will have the equation y=3x-17.

Answer 2

Parallel lines have the same slope.

The given line is in slope-intercept form y = m*x + b where m is the slope and b is the y-intercept. In this case (y = 3*x + 0), the y-intercept is 0. The slope is 3.

We can write an equation of a line through the point (7,4) with a slope of 3 using point-slope form: y - y₁ = m * (x - x₁)

y - 4 = 3 * (x - 7)

Although this is an equation of our line, we can rearrange it if it needs to have another format: for example, slope-intercept.

y - 4 = 3 * (x - 7)

y - 4 = 3x - 21

y = 3x - 17