Question

Which graph correctly represents the equation y=−4x−3?

GUYS PLEASE HELP ME IAM NOT TRYING TO FAIL SUMMER SCHOOL and will offer 40 points for who ever helps me with the next 3 problems and will give brainlest

Answer 1

Idk if u got the answer or not, but It's the last graph. Just by looking at it you can point two things out.

1. The y intercept is -3 (so the graph needs to have the point (0,-3) that takes out two options.)

2. The slope is negative. (Which means the graph is going to decrease. So that takes out the other two options that have it increased.)

Answer 2

The graph at option 4 represents the given equation y = -4x - 3 correctly. This is obtained by calculating the slope and finding the y-intercept.

What is the slope of a line with two points?

The slope of a line given by

m = $\frac{y_2-y_1}{x_2-x_1}$

The ratio of the difference between y-coordinates of two points on the line to the difference of their x coordinates.

Calculation:

The equation is y = -4x - 3

On comparing the equation with the slope-intercept form y = mx + c,

m = -4 and y-intercept c = -3.

Since the y-intercept is -3, the graphs at options 1 and 2 do not represent this equation. So, the remaining graphs may represent the given equation.

Finding the slope for the points in the other two graphs:

The graph at option 3 has a line with two points (2, 5) and (0, -3)

So, the slope is

m = $\frac{-3-5}{0-2}$

   = 4

Thus, it is not the same as the slope of the given equation.

The graph at option 4 has a line with two points (-2, 5) and (0, -3)

So, the slope is

m = $\frac{-3-5}{0+2}$

   = -4

Thus, the line shown in the graph at option 4 has a slope of -4 and the y-intercept is -3. These are the same as the given equation. So, option 4 is correct.

Therefore, the graph at option 4 is the correct representation of the given equation.

Learn more about the graph of an equation in a slope-intercept form here:

https://brainly.com/question/19440459

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