Find the y- and x-intercepts for the equation. I have an idea what it might be, but want to be sure. I would appreciate the help! Thanks!
f(x) = - 3 - 7x
What is your idea about what it might be?
Writing it in the form
y = -7x -3 might make the answer more obvious.
(0,-3); {3/7,0} is this correct?
No. They ask for two numbers, the slope and the y-intercept. You are writing doen pairs of numbers, like the coordinates of a point. The y-intercept is the y value where x = 0, where the plotted line crosses the y-axis. Its value is -3
The slope is -7
To find the y-intercept of the equation f(x) = -3 - 7x, you can set x = 0.
Substituting x = 0 into the equation, you get:
f(0) = -3 - 7(0)
f(0) = -3
So the y-intercept is the point (0, -3).
To find the x-intercept of the equation, you can set f(x) = 0.
Substituting f(x) = 0 into the equation, you get:
0 = -3 - 7x
To solve for x, you can add 3 to both sides of the equation:
3 = -7x
Now divide both sides of the equation by -7:
x = 3/(-7)
Simplifying, x = -3/7.
So the x-intercept is the point (-3/7, 0).
Therefore, the y-intercept is (0, -3) and the x-intercept is (-3/7, 0) for the equation f(x) = -3 - 7x.