-slope%3D2%2F3-answer.jpeg "(-3 0) Slope=2/3 Answer")
Finding the Equation of a Line
Given a point and a slope, we can find the equation of a line. In this case, we are given the point (-3, 0) and a slope of 2/3.
Step 1: Write the slope-intercept form of a line
The slope-intercept form of a line is given by the equation:
y = mx + b
where m is the slope and b is the y-intercept.
Step 2: Substitute the given slope
We are given a slope of 2/3, so we can substitute this value into the equation:
y = (2/3)x + b
Step 3: Substitute the given point
We are given the point (-3, 0), so we can substitute these values into the equation:
0 = (2/3)(-3) + b
Step 4: Solve for b
To solve for b, we can simplify the equation:
0 = -2 + b
b = 2
Step 5: Write the equation of the line
Now that we have found the y-intercept (b = 2), we can write the equation of the line:
y = (2/3)x + 2
And that's it! We have found the equation of the line that passes through the point (-3, 0) with a slope of 2/3.
