Find an equation of the linear function f having a slope of -2 if f(1)=3
My teacher never taught us this, please help me
If you are in algebra 2, I guarantee that you were taught this. Remember the point-slope form for a line? It's in your text.
To find the equation of a linear function when given its slope and a point, you can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁),
where (x₁, y₁) are the coordinates of the given point and m is the slope.
Given that the slope (m) is -2 and the point (x₁, y₁) is (1, 3), we can substitute these values into the equation:
y - 3 = -2(x - 1).
Now, we can simplify this equation to find the equation of the linear function:
y - 3 = -2x + 2.
To get the equation in slope-intercept form (y = mx + b), we can rearrange the equation:
y = -2x + 2 + 3,
y = -2x + 5.
Therefore, the equation of the linear function f with a slope of -2 and f(1) = 3 is y = -2x + 5.