Question

Instructions: Write the equation of the line with a slope of 3/4 and a y-intercept of - 7 in Slope-Intercept and Point-Slope Form.

Answer 1

The slope-intercept form of the equation of a line with slope m and y-intercept b is:

`y=mx+b`

In this case, the y-intercept is -7 and the slope is 3/4. Then:

`y=(3)/(4)x-7`

If a line has slope m and passes through the point (a,b), the point-slope form of the equation is given by:

`y=m(x-a)+b`

Since the y-intercept of the given equation is -7, then the line goes through the point (0,-7) Then, it can be written in slope-point form as:

`y=(3)/(4)(x-0)-7`