Find the equation of the line that has a slope of 4 and a y-intercept of 2.
A straight line is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity.
Answer: The equation of the line that has a slope of 4 and a y-intercept of 2 is y = 4x + 2.
Let's look into the steps below.
Given: A line with a slope of 4 and a y-intercept of 2.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Given two points (x1,y1) and (x2,y2), the slope is given using the slope formula,
Slope = m = tanθ = (y2 - y1) / (x2 - x1)
The y-intercept is a point where the graph intersects the y-axis.
We know that the equation of a straight line is given as:
y = mx + c
- 'm' is the slope o the line.
- 'c' is the y-intercept.
For a line with a slope of 4 and a y-intercept of 2, we have m = 4 and c = 2
Thus, the equation of the line will be y = 4x + 2.
We can also use Cuemath's online equation of a line calculator to find the equation of a line.