What is the slope of the line that is parallel to the given line and passes through the given point? what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? what is the y-intercept of the line that is parallel to the given line and passes through the given point?

slope: m; equation: (y - y1) = m (x - x1); y-intercept: b1 = - m x1 + y1

Step-by-step explanation:

If your given line has the next form: y = m x + b, the slope of the line that is parallel to that line is m.

The equation, in point-slope form, of the line that is parallel to the given line and passes through the given point is: (y - y1) = m (x - x1), where (x1, y1) is the given point.

the y-intercept of the line that is parallel to the given line and passes through the given point can be obtained rearranging previous equation:

(y - y1) = m (x - x1)

y = m x - m x1 + y1

This can be written in the next way:

y = m x + b1

where b1 = - m x1 + y1, the y-intercept of the line

1st Blank: -1/4     2nd Blank: y+4=-1/4(X+2)      3rd Blank:-9/2

Step-by-step explanation:

took one for the team and guessed lol

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !