Question

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Skill plans
A Math
Science
FL Standards
Eighth grade Y.11 Write a linear equation from two points 289
The points (1, 10) and (0, 6) fall on a particular line. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x + 2
Submit

Answer 1

The equation in slope-intercept form is:
`\mathbf{y=4x+6}`

Explanation:

The points (1, 10) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?

The general equation in slope-intercept form is:
`y=mx+b` where m is slope and b is y-intercept.

We need to find slope and y-intercept

Finding Slope:

The slope of equation can be found using formula:
`Slope=(y_2-y_1)/(x_2-x_1)`

We have:
`x_1=1, y_1=10, x_2=0, y_2=6`

Now, finding slope:

`Slope=(y_2-y_1)/(x_2-x_1) \\Slope=(6-10)/(0-1)\\Slope=(-4)/(-1)\\Slope=4`

So, we get slope = 4

Now Finding y-intercept

y-intercept can be found using slope m=4 and point (1,10)

`y=mx+b\\10=4(1)+b\\10=4+b\\b=10-4\\b=6`

So, we get y-intercept b = 6

Equation of line.

Equation of line having slope m = 4 and b = 6

`y=mx+b\\y=4x+6`

So, the equation in slope-intercept form is:
`\mathbf{y=4x+6}`