Question
Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
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: - 3
\Step 1 of 2:
The given points are: (3,1) and (0, -3). The slope intercept form is, y = mx + c.
The slope of the line is:
Thus, the equation changes to, 
.
Step 2 of 2:
The y-intercept is the value for y when x = 0.
Here, when x = 0, the value of y = - 3. Thus, the y-intercept is c = - 3.
Hence, the equation of the line is:
The slope-intercept form of a line is the most common way to express a line's equation. For example, the slope-intercept form, y = mx + c, is the equation of a straight line with slope m and intercept c on the y-axis. In this case, m and c can be any two real numbers.
The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
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