Slope Math Example 5

Follow the full solution, then compare it with the other examples linked below.

Example 5

hard
A line has slope −34-\frac{3}{4} and passes through (0,5)(0, 5). Find the yy-value when x=8x = 8.

Solution

  1. 1
    Use y=mx+by = mx + b with m=−34m = -\frac{3}{4} and b=5b = 5.
  2. 2
    Substitute x=8x = 8: y=−34(8)+5=−6+5=−1y = -\frac{3}{4}(8) + 5 = -6 + 5 = -1.

Answer

y=−1y = -1
If you know the slope and a point (here the yy-intercept), you can find yy for any xx using the slope-intercept equation.

About Slope

A measure of the steepness and direction of a line, calculated as the ratio of vertical change (rise) to horizontal change (run) between any two points on the line. Slope is written as m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} and indicates how much yy changes for each unit increase in xx.

Learn more about Slope →

More Slope Examples

Example 1 easy

Find the slope of the line passing through points [formula] and [formula].

Example 2 easy

Find the slope of the line through [formula] and [formula].

Example 3 medium

A line passes through [formula] and [formula]. What is its slope?

Example 4 medium

Find the slope of the line passing through [formula] and [formula].

← All Slope Examples Slope Concept