Answer:
- x-intercept: 14
- y-intercept: 28/5
Explanation:
You want the x- and y-intercepts of the equation ...
2x +5y = 28
Intercepts
The x-intercept is found by solving for x when y = 0. Generically, this is ...
ax +by = c
ax + 0 = c
x = c/a . . . . . . . . constant divided by x-coefficient
Similarly, the y-intercept is the value of y when x = 0:
y = c/b . . . . . . . . constant divided by y-coefficient
Application
The x-intercept is ...
x = 28/2
x = 14
The y-intercept is ...
y = 28/5
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Additional comment
As you can see, the intercepts are easily found when the equation of the line is written in standard form like this. Knowing these intercepts makes the function easy to graph: plot the intercept points, and draw a line through them.
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