# Write the equation of the line through each point. We need to use slope-intercept form. (1, -1), parallel to y = frac{2}{5x - 3} Question
Equations Write the equation of the line through each point. We need to use slope-intercept form. (1, -1), parallel to $$y = \frac{2}{5x - 3}$$ 2021-03-07
Slope-intercept form is $$y= mx +b$$
Parallel means same slope different intercept.
Solve for b given point (1,-1)
Multiply both sides by 5.
Subtract 2 from each side.
Divide each side by 5.
$$-1=\frac{2}{5(1)+b}$$
$$-5=2(1)+5b$$
$$-5=2+5b$$
$$-7=5b$$
$$\frac{-7}{5}=b$$
$$y=\frac{2}{5x}-\frac{7}{5}$$

### Relevant Questions Write an equation in standard form $$Ax=By=C$$ of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16) Find the slope and y intercept of the line in the given equation $$\displaystyle{y}=-\frac{{7}}{{10}}{x}-{2}$$ A truck rental company charges $27 per day plus$0.79 per mile. What is the equation of the line in slope-intercept form? Write the equation in point-slope form of the line that passes through the given point with the given slope.
(3,1), m=2 Write an equation in slope intercept form. $$2x+3y=7$$, (4,5). We give linear equations. For each equation,
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
y=-3 A line passes through the point (2, 1) and has a slope of $$\frac{-3}{5}$$.
What is an equation of the line?
A.$$y-1=\frac{-3}{5}(x-2)$$
B.$$y-1=\frac{-5}{3}(x-2)$$
C.$$y-2=\frac{-3}{5}(x-1)$$
D.$$y-2=\frac{-5}{3}(x-1)$$ We give linear equations. For each equation,
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
y=−0.75x−5  