Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form (-3,5). (3.3)

4/3 i think

Step-by-step explanation:

Point-slope form:

Slope-intercept form:

Step-by-step explanation:

We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).

First, we will find the slope between the two points. By the slope formula:

Point-slope form is given by:

We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:

Is the point-slope form*.

To find the slope-intercept form, we simply need to isolate y. Distribute:

Adding 3 to both sides yields:

This is slope-intercept form.

*If you use the other point, the point-slope form will be:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1