To find the equation of the line in slope-intercept form, we first need to determine the slope and the y-intercept of the line from the graph.
From the graph, we can see that the line passes through the point (2, 4) and (6, 10).
To find the slope, we use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
m = (10 - 4) / (6 - 2)
m = 6 / 4
m = 1.5
Next, we need to find the y-intercept (b) by substituting the slope and a point into the slope-intercept form of the line equation y = mx + b. Let's use the point (2, 4):
4 = 1.5(2) + b
4 = 3 + b
b = 1
Therefore, the equation of the line in slope-intercept form is:
y = 1.5x + 1
Use the graph to derive the equation of the line in slope-intercept form. What’s the answer
1 answer