Equation of the line in slope-intercept form is y = -1/5 x + 9
Step-by-step explanation:
- Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.
⇒ y = -1/5 x + b ------ (1)
- Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)
⇒ 9 = -1/5 × -10 + b = 2 + b
⇒ b = 9 - 2 = 7
- Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.
⇒ y = -1/5 x + 7
It can also be written as 5y + x = 35
Answer:
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