Question

Write an equation of the line in slope- intercept form

Answer 1

D. y=x+5

Explanation:

Find the slope of the line. Remember to use equation: m=y2−y1/x2−x1

m= 5-(2)/0-(-3)

Simplify both numerator and denominator, then divide. You'll get m=1

Use the slope 1 and a given point (−3,2) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1).

y−(2)=1⋅(x−(−3))

Simplify the equation.

y−2=1⋅(x+3)

Solve for y by multiplying x+3 by 1.

y−2=x+3

Move everything that doesnt contain y to the right by adding 2 to both sides of the equation

y=x+3+2

and then added 3 and 2.

y=x+5

Answer 2

`d)\ y=x+5`

Explanation:

Slope (m) form:
`(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(5-2)/(0-(-3)) \\\\m=(3)/((0+3)) \\\\m=(3)/(3) \\\\m=1`

`y=mx+b\\y=1x+b\\y=x+b`

(0, 5)

`5=0+b\\5=b`

`y=x+5`

Check your answer:

`y=x+b\\5=0+5\\5=5`

This statement is true

Hope this helps!