MATH SOLVE

4 months ago

Q:
# Write in slope-intercept form an equation of the line that passes through the given points.(β1, β1), (1, 5)

Accepted Solution

A:

Answer:Step 1: We need to find the slope (or m) FIRST using slope formula*.[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]m = 3Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]b = 2Step 3: Now we put it all together we get our equation in slope-intercept form**.[tex]y = 3x + 2[/tex]**Slope-intercept form: [tex]y = mx + b[/tex]*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]