write the equation of this line in slope - intercept form using the boxes below. enter your answers for the…
write the equation of this line in slope - intercept form using the boxes below. enter your answers for the slope, m, and the y - intercept, b, using integers, proper fractions, and improper fractions in lowest form without spacing. do not enter a decimal or mixed number. y = x +
Answer
Explanation:
Step1: Find two points on the line
Let's take two clear - cut points. The line passes through (- 5,15) and (0,35).
Step2: Calculate the slope (m)
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substituting (x_1=-5,y_1 = 15,x_2 = 0,y_2=35), we get (m=\frac{35 - 15}{0-(-5)}=\frac{20}{5}=4).
Step3: Identify the y - intercept (b)
The y - intercept is the y - value when (x = 0). From the point (0,35), (b = 35).
Step4: Write the equation in slope - intercept form
The slope - intercept form is (y=mx + b). Substituting (m = 4) and (b = 35), we get (y=4x+35).
Answer:
(y = 4x+35)