How do you write an equation with X-intercept of -3 and y-intercept of 2?

1 Answer
Feb 24, 2018

See a solution process below:

Explanation:

x-intercept of -3 is the same as (-3, 0)

y-intercept of 2 is the same as (0, 2)

First, we can find the slope of the line. 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 the values from the points in the problem gives:

m = (color(red)(2) - color(blue)(0))/(color(red)(0) - color(blue)(-3)) = (color(red)(2) - color(blue)(0))/(color(red)(0) + color(blue)(3)) = 2/3

We can now use the slope-intercept formula to write and equation for 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 the slope we calculated and the y-intercept given in the problem gives:

y = color(red)(2/3)x + color(blue)(2)