Question

Write an equation in slope-intercept form of the line that passes through the

points (-5, -3) and (1, 9).

Answer 1

`\boxed{\sf{y=2x+7}}`

Explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

`\sf{y=mx+b}`

The m represents the slope.

The b represents the y-intercept.

Slope formula:

`\sf{(y_2-y_1)/(x_2-x_1)}`

`\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}`

Rewrite the problem down.

`\sf{(9-(-3))/(1-(-5))=(9+3=12)/(1+5=6)=(12)/(6)=2 }`

• The slope is 2.
• The y-intercept is 7.

y=2x+7

• Therefore, the correct answer is y=2x+7.

I hope this helps you! Let me know if my answer is wrong or not.