1.) (4,3); m=2/3 given point, then graph a line with the given slope
Question
given point, then graph a line with the given slope
1 Answer

1. User Answers TiltedLunar
Answer:
To graph a line with a given slope, we can use the pointslope form of a linear equation, which is given by the formula y  y1 = m(x  x1). In this formula, (x1, y1) is the given point and m is the slope of the line.
Substituting the given values into the pointslope formula, we have:
y  (3) = (2/3)(x  (4))
Solving for y, we have:
y = (2/3)x + (5/3)
This is the equation of the line in slopeintercept form. To graph the line, we can plot the given point (4, 3) and then use the slope (2/3) to find additional points on the line. For example, if we let x = 3, we have:
y = (2/3)(3) + (5/3) = 2 + 5/3 = 1/3
So, another point on the line is (3, 1/3). We can repeat this process to find additional points on the line.
The graph of the line would then be a set of points that includes (4, 3) and (3, 1/3), as well as all other points that can be found using the pointslope formula.