Question

Write the slope-intercept form of the equation of the

line through the given point with the given slope.
10. through: (5, -3), slope -4/5.

Answer 1

b = 1

Explanation:

We know that

y = mx + b

-3 = -4/5 × 5 + b

-3 = -20/5 + b

-3 = -4 + b

-3 + 4 = b

1 = b

Answer 2

• y = -4/5x + 1

Explanation:

The slope-intercept form:

• y = mx + b, where m- slope, b- y-intercept

Use point (5, -3) and m = -4/5:

• -3 = -4/5*5 + b
• -3 = -4 + b
• b = -3 + 4
• b = 1

The line is:

• y = -4/5x + 1