Question
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
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: x + 2
Step 1 of 2:
The given points are: (4, 0) and (0, 2). 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 = 2. Thus, the y-intercept is c = 2.
Hence, the equation of the line is:
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.
Related Questions to study
Find the simplified Quotient , and state the domain.
Find the simplified Quotient , and state the domain.
What is the product of 
.
What is the product of .
What is the simplified form of each rational expression ? What is the domain ?
What is the simplified form of each rational expression ? What is the domain ?
Write the equation in slope-intercept form of the line that passes through the points (0, 1) and (2, 2).
Write the equation in slope-intercept form of the line that passes through the points (0, 1) and (2, 2).
Find the simplified form of each product , and give the domain.
Find the simplified form of each product , and give the domain.
Sketch the graph of y = 3x - 6
Sketch the graph of y = 3x - 6
The volume , in cubic units , of a rectangular prism with a square base can be represented by 
. The height in units can be represented by x + 8. What is the side length of the base of the rectangular prism, in unit.
The volume , in cubic units , of a rectangular prism with a square base can be represented by . The height in units can be represented by x + 8. What is the side length of the base of the rectangular prism, in unit.
Write an equivalent expression , state the domain:
Write an equivalent expression , state the domain:
Sketch the graph of, 
.
Sketch the graph of, .
Sketch the graph of, 
.
Sketch the graph of, .
Find the simplified form of each product , and give the domain.
Find the simplified form of each product , and give the domain.
Write an equivalent expression , state the domain .
Write an equivalent expression , state the domain .
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize 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. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize 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. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
