Question

Consider the line that passes through the point P(0,-1) and has slope 3/4 Write the slope-intercept form of

the line's equation. Use exact values.

Answer 1

y = 3/4 x - 1

Explanation:

Slope-intercept form of an equation of a line is a fill-in-the-blank short cut to write an equation. Slope-intercept is the equation:

y = mx + b

They told us the slope is 3/4. In the equation m is the slope. So fill in 3/4 in the place of m.

y = 3/4 x + b

The b is the y-intercept. That point was also given. The point (0,-1) is where the line crosses the y-axis. The -1 in the point (0,-1) is the b in the equation. Fill in -1 in place of b.

y = 3/4 x + -1

Simplify.

y = 3/4 x - 1