Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 4 right parenthesis and left parenthesis 1 comma 8 right parenthesis.
Derive the equation of the line in slope-intercept form.
(1 point)
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To find the equation of the line in slope-intercept form, we first need to find the slope of the line. The slope (m) can be calculated as the change in y divided by the change in x:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Next, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. To find the value of b, we can substitute one of the points on the line into the equation:
4 = 4(0) + b
4 = b
Now we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form:
y = 4x + 4