What is an equation of the line in slope intercept form?
m = 4 and the y-intercept is (0, 5)
(1 point)
• y =4x-5
• y =-5x +4
• y=4x+5
• y =5x+4
The correct equation of the line in slope-intercept form is: y = 4x + 5.
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line, and b represents the y-intercept.
In this case, m = 4 and the y-intercept is (0, 5).
Substituting the given values into the slope-intercept form equation, we get:
y = 4x + 5
Therefore, the correct answer is: y = 4x + 5.
To find the equation of a line in slope-intercept form, we need two pieces of information: the slope (m) and the y-intercept (b).
In this case, the given slope is 4 and the y-intercept is (0, 5). The y-intercept is the point on the line where it intersects with the y-axis, and it is represented as (0, b), where b is the y-intercept value.
Using the slope-intercept form of a line, which is y = mx + b, we can substitute the given values into the equation.
m = 4 represents the slope, so we substitute it:
y = 4x + b
The y-intercept is (0, 5), which means when x = 0, y = 5. Substituting these values in the equation, we have:
5 = 4(0) + b
Since 0 multiplied by any number is 0, the equation simplifies to:
5 = b
Now we can substitute the value of b back into the equation:
y = 4x + 5
Thus, the equation of the line in slope-intercept form, given the slope of 4 and y-intercept (0, 5), is y = 4x + 5. Therefore, the correct option is:
• y = 4x + 5