Question 42: Which equation represents the line that passes through the points (-1, -2) and (3, 10)? * O y = 3x + 1 O y =

Question

Question 42: Which equation represents the line that passes through the points
(-1, -2) and (3, 10)? *
O y = 3x + 1
O y = 3x – 1
O y = 4x + 2
O y = 4x – 2

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Thiên Di 4 years 2021-09-03T19:26:43+00:00 2 Answers 20 views 0

Answers ( )

  1. ngockhue
    0
    2021-09-03T19:27:52+00:00
    Reply

    Use the slope formula below (Rise Over Run)

    \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }

    We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

    \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}

    Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

    \large \boxed{y - y_1 = m(x - x_1)}

    The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

    \large{y - ( - 2) = 3(x - ( - 1))}

    We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

    \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}

    Answer

    • y = 3x+1
  2. thachthao
    0
    2021-09-03T19:28:35+00:00
    Reply

    Answer:

    y = 3x + 1

    Step-by-step explanation:

    first we need to find the slope

    m = (y2-y1) / (x2-x1)

    m = (10 – -2) / (3 – -1) = 3

    note that it does not matter which points you chose to be second or first

    then use slope point equation again it does not matter which point you use

    y – y1 = m ( x – x1 )

    y – 10 = 3 ( x – 3)

    y – 10 = 3x -9

    y = 3x -9 + 10

    y = 3x +1

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )