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.
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) )
1 answer
1 answer