Find the slopeintercept form of the equation of the line tha

Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point , (4,-4) m- Sketch the line. 1. Select an object from the Tools menu to the left 2. Enter in Object Properties below, or use the mouse to place and move objects To enter a fractional or decimal coordinate, use Object Properties

Solution

they\'ve given me the value of the slope; in this case, m = -1/2. Also, in giving me a point on the line, they have given me an x-value and a y-value for this line: x = 4 and y = –4.

In the slope-intercept form of a straight line, I have y, m, x, and b. They\'ve given me the value for m, along with values for an x and a y. So the only thing I don\'t have so far is a value for is b (which gives me the y-intercept). Then all I need to do is plug in what they gave me for the slope and the x and y from this particular point, and then solve for b:

y = mx + b

(–4) = (-1/2)(4) + b

-4 = –2 + b

–2 = b

Then the line equation must be \"y = -1/2*x – 2\"