SOLUTION: how do you write and graph an equation for (A LINE PASSING) through (-2,1) and parallel to y=-2/3x-4

Question 100359This question is from textbook texas algebra 2
: how do you write and graph an equation for
(A LINE PASSING) through (-2,1) and parallel to y=-2/3x-4 This question is from textbook texas algebra 2

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Parallel lines have the same slope (by definition), so the slope of the line passing through the point(-2,1) will have to have slope = -2/3. We know that the line is sloping down to the right because the slope is negative. The slope is also the change in y divided by the change in x, so for each change of 3 on the x-axis, the y value decreases by 2 (that is, -2/3). To define a line, we need another point to pair with (-2,1).
We know that the general equation for a line is . We know one y and one x, but we don't know b, so we substitute what we know and solve that.

so
Recall the b is called the y-intercept, which tells us where the line crosses the y-axis when x=0. That gives us another coordinate pair: (0, -1/3). So the equation for the line is:
.
RELATED QUESTIONS
Write an equation for a line parallel to y = -2 x -1 and passing through the point (1,2) (answered by MathLover1)

find an equation for a line parallel to 3x+y=7 passing through... (answered by mananth)

find an equation of a line passing through (-2,-1) and parallel to y=-3x-1. show... (answered by mananth)

Write the equation of the line parallel to 3x - y = 2 and passing through (2,... (answered by stanbon)

Write the equation of the line parallel to 3x - y = 2 and passing through... (answered by Alan3354)

Write the equation of the line parallel to y-3x=2 and passing through... (answered by solver91311)

Find an equation for the line passing through the point and parallel to the given line:... (answered by stanbon)

Directions: Write an equation for each line in point slope form and slope intercept form (answered by Fombitz)

Write an equation for each line in point slope form and slope intercept form: Passing... (answered by josgarithmetic)