SOLUTION: Please help me write an equation of the line that has the given x-intercept and slope: x-intercept = 2, m = -2/3.

Question 61639This question is from textbook Algebra 1
: Please help me write an equation of the line that has the given x-intercept and slope:
x-intercept = 2, m = -2/3. This question is from textbook Algebra 1

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can start by writing the general slope-intercept form of a linear equation:
y = mx + b where: m is the slope and b is the y-intercept. You have been given the slope, m = -2/3, so you can write:
So far, so good! But now you need to find the value of b, the y-intercept. You can do this because you have been given the x-intercept, x = 2 and because you know that the x-intercept is where the line intersects (crosses) the x-axis and the y-coordinate at this point is y = 0.
So the x-intercept has the coordinates: (2, 0). This allows you to find b,in the equation because you can substitute the x- and y-coordinates of this point into the equation and solve for b.
Solving this for b, you get:
So now you can write the final equation of the line in the slope-intercept form: y = mx + b

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