Question

Write the equation of the line that passes through the points ( -2,-7 ) and ( 5,7) in the slope intercept form

Answer 1

Slope-Intercept form is represented by the formula:
y = mx + b

So we need to solve for m (the slope of the linear function) and b (the y-intercept).

The slope can be found simply by averaging the ∆y/∆x between the points (-2, -7) and (5, 7). We find that as y has increased 14 values, x has increased 7 values. This makes ∆y/∆x equal to (14/7), which results in a slope of 2. Therefore, m = 2.

Now we have that y = 2x + b. We must solve for b. Remember that b (the y-intercept) is the point at which the line intersects the y-axis. You must plug in values to find the point at which x = 0. With a slope of 2, we find that the point is at (0, -3). Therefore, b = -3.

So we have our final equation: y = 2x - 3

Answer 2

Thank you so much