Answer:
Step-by-step explanation:
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>
Answer:</h3>
![y = [ -2 ] x + [ 1 ]\\](https://tex.z-dn.net/?f=y%20%3D%20%5B%20-2%20%5D%20x%20%2B%20%5B%201%20%5D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>
We must first find the slope.
<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>
We can see the marked points,
and
, are on the line.
Solving for the slope:

Now we can now solve for the
-intercept.
<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>
We can see that the line intersected the
-axis at
so
.