Graphing Linear Equations Unit Test
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Question
Use the image to answer the question.
An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 1 comma 5 right parenthesis and left parenthesis 2 comma 10 right parenthesis.
The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.
(1 point)
To find the equation of the line y = mx through the origin, we first need to find the slope (m) of the line.
To find the slope, we use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the points (-1, 5) and (2, 10), we get:
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
So, the slope of the line is 5.
Since the line passes through the origin, the y-intercept is 0. Therefore, the equation of the line is:
y = 5x
The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour? (1 point)
employee 1 earns 25 dollars every 2 hours while empolyee 2 earns 15 per one hour