(0,-2) (1,3) Use the graph to derive the equation of the line in slope-intercept form. (1 point)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the given points (0, -2) and (1, 3).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

m = (3 - (-2)) / (1 - 0)
m = 5 / 1
m = 5

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form:

y - y1 = m(x - x1)

Using the point (0, -2):

y - (-2) = 5(x - 0)
y + 2 = 5x

Now, we can rewrite this equation in slope-intercept form (y = mx + b):

y + 2 = 5x
y = 5x - 2

Therefore, the equation of the line in slope-intercept form is y = 5x - 2.