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 and the y-intercept.
The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), with the given points (0, 4) and (1, 8):
m = (8 - 4) / (1 - 0) = 4 / 1 = 4
Now that we have the slope, we can find the y-intercept (b). Since the line passes through the point (0, 4), the y-intercept is 4.
So the equation of the line is y = mx + b, which is:
y = 4x + 4