How to write a linear equation in slope intercept form

Asked by admin @ 28/10/2021 in Mathematics viewed by 342 People

write a linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) site

Answered by admin @ 28/10/2021

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

$y=\frac{1}{4}x-\frac{9}{4}$

Step-by-step explanation:

Given points are:

(-11, -5) = (x1,y1)

(1, -2) = (x2,y2)

We have to find the slope first

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-2-(-5)}{1-(-11)}\\m=\frac{-2+5}{12}\\m=\frac{3}{12}\\m=\frac{1}{4}$

Slope-intercept form is:

$y=mx+b$

Put the value of slope

$y=\frac{1}{4}x+b$

To find the value of b, putting the point (1 -2) in equation

$-2=\frac{1}{4}(1)+b\\-2=\frac{1}{4}+b\\-2-\frac{1}{4}=b\\b=\frac{-8-1}{4} \\b=\frac{-9}{4}$

Putting the values of b and m

$y=\frac{1}{4}x-\frac{9}{4}$

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

$y=\frac{1}{4}x-\frac{9}{4}$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

How to write the linear equation in slope intercept form

Asked by admin @ 28/10/2021 in Mathematics viewed by 340 persons

write a linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) site

How to convert a linear equation to slope intercept form

Asked by admin @ 22/11/2021 in Mathematics viewed by 303 persons

Explain how to change an Linear Equation from Standard form to slope intercept form. Tell me two reasons that it is important to be able to have the linear equation …

How do you write slope intercept form of an equation

Asked by admin @ 05/11/2021 in Mathematics viewed by 279 persons

Explain how to write an equation from a graph in slope intercept form .

How do you write an equation in slope intercept form

Asked by admin @ 29/10/2021 in Mathematics viewed by 282 persons

Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)

How do i write an equation in slope intercept form

Asked by admin @ 28/10/2021 in Mathematics viewed by 300 persons

Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)

Write the equation 2x 3y 6 in slope intercept form

Asked by admin @ 04/08/2021 in Math viewed by 318 persons

Write the equation 2x - 3y = 6 in slope-intercept form. y = x + 3 y = x + 3 y = x - 2

Write an equation in slope intercept form for this line

Asked by admin @ 10/11/2021 in Mathematics viewed by 315 persons

Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)

Write an equation in slope intercept form with one point

Asked by maham237 @ 22/02/2021 in Mathematics viewed by 313 persons

What method can be used to write the equation of a line in slope-intercept form given two points? A. Find the slope using the formula m = StartFraction y 2 …

Deriving the slope intercept form of an equation

Asked by maham237 @ 22/02/2021 in Mathematics viewed by 289 persons

Describe the procedure you performed to derive the slope-intercept form of a linear equation.

Point slope form of a linear equation

Asked by maham237 @ 09/01/2021 in Mathematics viewed by 292 persons

Use Point-Slope Form of a Linear Equation y - y1 = m (x – 11) to find theSlope-Intercept equation of the line with a slope of 3 and passing through …

How do you find an equation in slope intercept form

Asked by admin @ 04/11/2021 in Mathematics viewed by 287 persons

How do you solve an equation in slope intercept form

How to find the slope intercept form of an equation

Asked by admin @ 28/10/2021 in Mathematics viewed by 353 persons

Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point …

How do you write an equation in point slope form

Asked by admin @ 05/11/2021 in Mathematics viewed by 292 persons

How do you write and graph equations in point-slope form?

What are the slope and y-intercept of the linear function graphed to the left?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 419 persons

What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; y-intercept: 1 slope: ; y-intercept: 2 slope: 2; y-intercept: 1