Maths-
General
Easy
Question
Find the equation of line such that its y-intercept is 20 and slope is ½.Application
Hint:
1. The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis-a-vis how long a distance was covered by the x-coordinates. Slope = m = rise / run = y2-y1 / x2-x1
2. Y-intercept is that point on a line where the line intersects with the y-axis i.e. the point at which x-coordinate is 0.
3. Equation of a line, when its slope and intercept is given can be given as-
y = mx + b
The correct answer is: y = 1/2 x + 20 is the equation of the given line.
Step-by-step solution:-
We are given that-
Slope of the given line = m = 1/2
and y-intercept = b = 20
Using Slope intercept form of a line, we can find the equation of the given line as-
y = mx + b
∴ y = 1/2 x + 20
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