A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.

What is the y-intercept

We have been given that a line passes through the point (10, 3) and is parallel to the line . We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be .

Now we will use slope-intercept form of equation to find y-intercept.

, where,

m = Slope,

b = The y-intercept.

Let us substitute and coordinates of point in above equation as:

Therefore, the y-intercept is 7 and our required equation would be .