Question

1. write an equation in point slope form that passes through the point (2,3) and slope of -4

Answer 1

For number 1, The equation for point slope form is y-y1=m(x-x1). This is called point-slope form because it uses one point, and the lines slope. We plug in the slope for m, and the point for (x1, y1), and then we have our answer for number 1! This is y-3=-4(x-2), in point-slope form. Slope intercept form is different however, requiring the slope of the line, and it's intercept. It is in the form y = mx+b. In the scenario by inputting the variables we already have we can solve for b very quickly. Using our point and slope we get 3=-8+b, or b = 11. This means that the equation in point slope form is y=-4x+11.