Question

Find the equation of this line y = [?]x + [ ] Please help

Answer 1

Writing an Equation of a Line in Slope-Intercept Form

Answer:

$y = [ -2 ] x + [ 1 ]$

Step-by-step explanation:

Please refer to my answer from this Question to know more about Slope-Intercept Form: brainly.com/question/24599351

We must first find the slope.

Please refer to my Answer from this Questions to know more about Slopes of a Line:

• brainly.com/question/24640665
• brainly.com/question/24638053

We can see the marked points, $(0,1)$ and $(4, -7)$, are on the line.

Solving for the slope:

$m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2$

Now we can now solve for the $y$-intercept.

Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: brainly.com/question/24606058

We can see that the line intersected the $y$-axis at $(0,1)$ so $b = 1$.