To find the equation of the line in slope-intercept form, we first need to calculate the slope (m) of the line using the two given points.
The slope (m) is calculated as:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Next, 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)
Using the point (0,4):
y - 4 = 4(x - 0)
y - 4 = 4x
Finally, we can rewrite the equation in slope-intercept form (y = mx + b) by solving for y:
y = 4x + 4
Therefore, the equation of the line in slope-intercept form is y = 4x + 4.
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.
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1 answer