Question The points (1, 5) and (0, –2) fall on a particular line. What is its equation in slope-intercept form?

Answer: y = 7x – 2 Step-by-step explanation: first we need the slope of the line. the slope is expressed a the ratio (y coordinate change / x coordinate change) when we go from one point on the line to another. so, let’s say we go from (0, -2) to (1, 5), we see x changes by +1 (from 0 to 1). y changes by +7 (from -2 to 5) so the slope is +7/+1 = 7 the slope-intercept form is in general y = ax + b a being the slope, b being the y-intercept (the y-value for x = 0). the point (0, -2) gives us therefore the y-intercept directly : -2. by using the already established slope and the point (0, -2) for the y-intercept the equation of our line is y = 7x – 2 Reply

Answer:Step-by-step explanation: