Question

6)If the slope of a line is į and the y-intercept is (0,Which one is the slope-intercept form of that line?y = x + 6y = 6x +y = { x + 6y = 2 2 - 6

Answer 1

The Slope-Intercept form of the equation of a line is the shown below:

$y=mx+b$

Where "m" represents the slope of the line and "b" represents the y-intercept.

In this case, you know that the slope of a line is:

$m=\frac{2}{3}$

According to the information given in the exercise, the line passes through this point:

$(0,6)$

Since the value of "x" is zero when the line intersects the y-axis, then:

$b=6$

Knowing the value of "m" and the value of "b", you can set up the equation of the line in Slope-Intercept form:

$y=\frac{2}{3}x+6$

The answer is: Third option.