To determine the equation of the line in slope-intercept form, we need to find the slope of the line and the y-intercept.
The slope of a line can be found using the formula:
slope = (change in y)/(change in x)
From the given points (0, -2) and (1, 3), the change in y is 3 - (-2) = 5, and the change in x is 1 - 0 = 1.
Therefore, the slope of the line is:
slope = 5/1 = 5
To find the y-intercept, we can use the point (0, -2). The y-intercept is the value of y when x = 0, which is -2.
Thus, the equation of the line in slope-intercept form is:
y = mx + b
Substituting the values, we have:
y = 5x - 2
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 (0 , -2) and (1 , 3)
Use the graph to derive the equation of the line in slope-intercept form.
1 answer
1 answer