Question
Write the equation in slope-intercept form of the line that passes through the points (2, 1.5) and (0, 4.5).
Hint:
The slope-intercept form of a line is y = mx + c, where m Is the slope of the line and c is the y- intercept. You obtain the value of y-intercept when you take x = 0.
We are asked to find the equation of the line passing through the given points in the slope intercept form.
The correct answer is: y equals negative 3 over 2 x plus 4.5
Step 1 of 2:
The given points are: (2, 1.5) and (0, 4.5). The slope intercept form of a line is y = mx + c.
The slope of the line passing through the points is:
Thus, the equation changes to 
.
Step 2 of 2:
The y-intercept is the value of y when x = 0.
Here, When x = 0the value of y = 4.5.
Thus, the y-intercept is, c = 4.5.
Hence, the equation of the line would be: 
The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
¶The slope, m, of a line represents its steepness. Sometimes the slope of a line is referred to as the gradient. A line's y-intercept, b, represents the y-coordinate of the point where the line's graph intersects the y-axis. Note: The y-coordinates intercepts are always (0, y) because the line whose equation needs to be determined always intersects the y-axis at x = 0.
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