Respuesta :
SOLUTION:
Step 1:
In this question, we are given the following:
Write the equation of the line that passes through (-3, 5) and (2, 10) in slope -intercept form
A) y=x+8 B) y=x-8 C) y=-5x-10 D)y=-5x+20
Step 2:
The details of the solution are as follows:
The equation of the line that passes through ( -3, 5 ) and ( 2, 10 ) is:
[tex]\begin{gathered} y\text{ - y}_1=\text{ m \lparen x - x}_1) \\ where\text{ \lparen x}_1,\text{ y}_1)\text{ = \lparen-3, 5 \rparen and \lparen x}_2,\text{ y}_2)\text{ = \lparen 2, 10 \rparen} \\ \end{gathered}[/tex][tex]\text{m = }\frac{y_2-y_1}{x_2-x_1}=\frac{10-5}{2-(-3)}=\frac{5}{5}\text{ = 1}[/tex][tex]\begin{gathered} The\text{ new equation will be:} \\ y\text{ - 5 = 1 \lparen x - - 3\rparen} \\ \text{y - 5 = 1 \lparen x + 3\rparen} \\ y\text{ - 5 = x + 3} \\ y\text{ = x + 3 + 5} \\ y\text{ = x + 8} \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]y\text{ = x + 8 \lparen OPTION A\rparen}[/tex]