Question

Write an equation for a line that passes through the points (0,-4) and (1,3)

Answer 1

We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.