How do you find equation in slope intercept form of the straight line that has an x intercept of 5 & a y intercept of 10?

1 Answer
smendyka
Feb 7, 2017

See the entire solution process below:

Explanation:

From the problem, because we were given the x and y-intercepts, we know two points on the line:

x-intercept = (5, 0) and y-intercept = (0, 10)

Knowing these points we can determine the slope. The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line.

Substituting gives:

#m = (color(red)(10) - color(blue)(0))/(color(red)(0) - color(blue)(5)) = 10/-5 = -2#

We can now use the slope intercept formula to find the equation of the line. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Substituting again gives:

#y = color(red)(-2)x + color(blue)(10)#

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