Question

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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

Answer:

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

Step-by-step 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: $Slope=\frac{y_2-y_1}{x_2-x_1}$

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

Now, finding slope:

$Slope=\frac{y_2-y_1}{x_2-x_1} \\Slope=\frac{6-10}{0-1}\\Slope=\frac{-4}{-1}\\Slope=4$

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: $\mathbf{y=4x+6}$