Question

Use the graph to derive the equation of the line in slope-intercept form.

(The graph displays two points on it, (1,3) and (0,-2) )

Answer 1

First, calculate the slope using the two points given:

Slope = (y2 - y1) / (x2 - x1)
Slope = (3 - (-2)) / (1 - 0)
Slope = 5 / 1
Slope = 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)
y - 3 = 5(x - 1)

Next, we can simplify and rewrite the equation in slope-intercept form:

y - 3 = 5x - 5
y = 5x - 5 + 3
y = 5x - 2

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