Question

If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form, y = mx + b. To do​ so, substitute the value of the slope and the values of x and y using the coordinates of the given​ point, then determine the value of b. Using the above​ technique, find the equation of the line containing the points (-4,7) and (2,-2).

What is the equation of the line?

(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answer 1

y=-3/2x+1

Explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2