Asap! a line is drawn so that it passes through the points (-3,-1) and (4,2). a. what is the slope of the line? b. using the point (4,2) and the slope found above, write the equation of the line in point-slope form. write out how you got your answer or the steps you took.

A) To find slope, use the equation:where and are the x and y values of one coordinate point , and and are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation. 
Let's choose (4, 2) as your point and (-3, -1) as your point, but you can switch those if you want! That makes and . Plug these values into the slope equation:


The slope of the line is 3/7.

B) Remember that the general equation for point-slope form is , where m = the slope,  = the x value of a coordinate point  on the line, and  = the y value of the same coordinate point on the line. 

You are given (4, 2) as one of the coordinate points. That means = 4 and = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:


Your point-slope form equation is .

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