Question 134813
Find the x- and y-intercepts of:
{{{y = 1.3x + 5}}}
The x-intercept (the point where the line crosses the x-axis) occurs when y = 0, so setting y = 0 and solving for x will find the where the line represented by the equation crosses the x-axis.
{{{y = 1.3x+5}}} Set y = 0.
{{{0 = 1.3x+5}}} Subtract 5 from both sides.
{{{-5 = 1.3x}}} Divide both sides by 1.3
{{{-5/1.3 = x}}}
{{{x = -3.846}}} This is the x-intercept (-3.846, 0).
The y-intercept occurs when x = 0, so set x = 0 and solve for y.
{{{y = 1.3x+5}}} Set x = 0
{{{y = 1.3(0)+5}}}
{{{y = 5}}} This is the y-intercept (0, 5)
Let's look at the graph for confirmation:
{{{graph(400,400,-5,5,-5,8,1.3x+5)}}}