Mathematics

Question

Can somebody please help me?!! I will give BRAINLIEST!!
Can somebody please help me?!! I will give BRAINLIEST!!

2 Answer

  • Answer:

    Step-by-step explanation:

    Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

    y = mx + b,

    where m is the slope and y is the y-intercept (the value of y when x = 0).

    Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

           Rise (-1-(7) = -8   Run = (1 - (-1) = 2

    The slope is therefore (-8/2) or -4.  

    y = -4x + b

    We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

    y = -4x + b

    -1 = -4(1) + b

    b = 3

    The straight line equation that connects the two points is

      y = -4x + 3

    You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

    The coordinates of the y intercept are (0,3).

  • The coordinate of the y-intercept of the line is (0, 3)

    Equation of a line

    The equation of a line in slope-intercept form is expressed as y = mx + b.

    where:

    • m is the slope the line
    • b is the y-intercept

    Given the coordinate points (-1, 7) and (1, -1).

    Get the slope

    [tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

    Get the y-intercept:

    Recall that y = mx + b

    Using the coordinate point (1, -1) and m = -4

    -1 = -4(1) + b

    -1 = -4 + b

    b = -1 + 4

    b = 3

    The equation of the line is y = -4x + 3

    Get the y-intercept:

    The y-intercept occurs at the point where x = 0

    y = -4(0) + 3

    y = 0 + 3

    y = 3

    Hence the coordinate of the y-intercept of the line is (0, 3)

    Learn  more on y-intercept here: https://brainly.com/question/25722412

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