Respuesta :

Esther

Answer:

[tex]d)\ y=x+5[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-2}{0-(-3)} \\\\m=\frac{3}{(0+3)} \\\\m=\frac{3}{3} \\\\m=1[/tex]

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

(0, 5)

[tex]5=0+b\\5=b[/tex]

[tex]y=x+5[/tex]

Check your answer:

[tex]y=x+b\\5=0+5\\5=5[/tex]

This statement is true

Hope this helps!

Ver imagen Esther
mayerlyglvn

Answer:

D. y=x+5

Step-by-step 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

Otras preguntas