Question
Write the equation in slope-intercept form of the line that passes through the points (-2, -1) and (0, -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 = - 2x - 5
Step 1 of 2:
The given points are: (-2, -1) and (0, -5). The slope intercept form of a line is: y = mx + c.
Find the slope of the line using the given points:
Thus, the equation of the line changes to y = - 2x + c.
Step 2 of 2:
The y-intercept is the value for y when x = 0.
Here, when x = 0, the value of y = - 5. Thus, the y-intercept is c = - 5.
Hence, the equation of the line is:
Y = - 2x - 5
If the slope of the line is to be examined and the given point is also the
¶y-intercept, you can apply the slope-intercept formula, y = mx + b. (0, b). The y value of the
¶y-intercept point is represented by the symbol b in the formula. If we know the slope between two points on a line, we can use that information to solve for the y-intercept in the slope-intercept equation y=mx+b. Here, we'll develop an equation for the line that connects the points (-1, 6) and (5,-4)
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Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
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