Question

Write an equation for the line in slope-intercept

form.
(Use integers or fractions for any numbers in the
equation.)

Answer 1

y = 3x + 5

Explanation:

Find the slope using two points on the line, say, (0, 5) and (-3, -4):

Slope (m) = ∆y / ∆x = (-4 - 5) / (-3 - 0) = -9/-3

m = 3

Find y-intercept (b):

y-intercept (b) is the value of y when x = 0. At this point, the line intercepts the y-axis.

When x = 0, y = 5

y-intercept (b) = 5

Write the equation by substituting m = 3 and b = 5 into y = mx + b

Thus:

y = 3x + 5