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Write an equation in point-slope form for each line
2. Slope is 1 and
(-2,-1) is on the line.

Write an equation in point-slope form for each line $\newline$ $2$ . Slope is $1$ and $(-2,-1)$ is on the line.

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Write a linear equation from a slope and y-intercept

Full solution

Q. Write an equation in point-slope form for each line

\newline

2

. Slope is

1

and

(-2,-1)

is on the line.

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ The point-slope form of a linear equation is given by: $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Insert Slope and Point: Insert the given slope and point into the point-slope form. $\newline$ We are given the slope $m = 1$ and the point $(x_1, y_1) = (-2, -1)$ . Substituting these values into the point-slope form, we get: $y - (-1) = 1(x - (-2))$ .
Simplify Equation: Simplify the equation. $\newline$ Simplify the equation by removing the parentheses: $y + 1 = 1(x + 2)$ .
Check Equation: Check the equation. $\newline$ The equation $y + 1 = 1(x + 2)$ correctly represents a line with a slope of $1$ that passes through the point $(-2, -1)$ in point-slope form.

More problems from Write a linear equation from a slope and y-intercept

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(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

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Find the slope of the line

y = -4x + \frac{2}{5}

\newline

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Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

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y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Posted 2 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 2 months ago

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Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 2 months ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 3 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 3 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 2 months ago