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2 years ago

Write an equation in slope intercept form of the line shown

Mathematics

1 answer:

sergejj [24]2 years ago

7 0

Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first y-coordinate from the second y-coordinate and the first x-coordinate from the second x-coordinate. The points we are using are (-4, 0) and (1, -5). Let's plug in the values: -5 - 0 / 1 - (-4). Okay. When we subtract a negative number, we actually add the number. Do the math, and you get -5/5 or just -1. The slope of the line is -1. The formula will be transferred into slope-intercept form, which is y = mx + b, with "m" being the slope, "b" being the y-intercept (where the line crosses the y-axis, with the value of x-axis being 0), and "y" and "x" remaining unfilled. The y-intercept is -4. The formula in slope-intercept form is y = -1x + (-4).

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2 years ago

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Which number is equivalent to the improper fraction 35/4

bulgar [2K]

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If you want to make the improper fraction into a mixed fraction/decimal;

35/4 = 32/4 + 3/4 = 8 3/4 = 8.75.

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Is 1/9 >, <, or = {Negative} -4?

kvasek [131]

<u>Answer:</u>

1/9 > -4

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2 years ago

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$