First, let's find the slope of the line using the two points given:
Slope (m) = (3 - (-2))/(1 - 0) = 5/1 = 5
Next, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (1,3):
y - 3 = 5(x - 1)
Now, simplify to slope-intercept form:
y - 3 = 5x - 5
y = 5x - 5 + 3
y = 5x - 2
Therefore, the equation of the line in slope-intercept form is y = 5x - 2.
Use the image to answer the quest
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 negative 2 right parenthesis and left parenthesis 1 comma 3 right parenthesis.
Use the graph to derive the equation of the line in slope-intercept form.
(1 point)
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3 answers