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what is the answer to y=3x-4m= __________b= __________

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2 Answers

The equation of the line in question is:     y = 3x - 4 , which is in slope-intercept form.

Note that the general form of the slope-intercept equation is:     y = mx + b , where m is the slope of the line (rise/run) and b is the y-intercept of the line (the point where x=0).

To see the equation of the line   y = 3x - 4   more clearly, rewrite it as   y = 3x + (-4).

Thus, we arrive at the following:

                                                slope of the line:   m = 3  

                                                y-intercept:           b = -4

When graphing this line, first locate the y-intercept (0, -4). Then use the slope to find one to two points to the right and to the left of the point (0, -4). To find these points, use the rise/run method of the slope.

For points to the right of the y-intercept:  

since the slope is m=3, this is equivalent to 3/1; that is, you go up the y-axis 3 points and to the right on the x-axis 1 point, which would would yield the point (1, -1).

For points to the left of the y-intercept:  

since the slope is m=3 (which is equivalent to 3/1) it is also equivalent to -3/-1; that is, you go down the y-axis 3 points and to the left on the x-axis 1 point, which would yield the point (-1, -7).

y=mx+b is a slope intercept form of a straight line. It represents a straight line that has slope m and crosses the y-axis at point (0,b)

For y=3x-4      m=3, b=-4